Two terms of a geometric sequence are given. Find the first five terms. Please help asap

Two Terms Of A Geometric Sequence Are Given. Find The First Five Terms. Please Help Asap

Answers

Answer 1

Answer:

4, 8, 16, 32, 64

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]

Given

a₇ = 256 and a₁₀ = 2048 , then

a₁ [tex]r^{6}[/tex] = 256 → (1)

a₁ [tex]r^{9}[/tex] = 2048 → (2)

Divide (2) by (1)

[tex]\frac{a_{1}r^{9} }{a_{1}r^{6} }[/tex] = [tex]\frac{2048}{256}[/tex]

r³ = 8 ( take the cube root of both sides )

r = [tex]\sqrt[3]{8}[/tex] = 2

Substitute r = 2 into (1)

a₁ × [tex]2^{6}[/tex] = 256

a₁ × 64 = 256 ( divide both sides by 64 )

a₁ = 4

Then

a₁ = 4

a₂ = 2a₁ = 2 × 4 = 8

a₃ = 2a₂ = 2 × 8 = 16

a₄ = 2a₃ = 2 × 16 = 32

a₅ = 2a₄ = 2 × 32 = 64


Related Questions

A certain city garden has 64 flowers and 24 decora-
tive shrubs planted. The garden planner wants to
plant more flowers until the ratio of flowers to
shrubs is 12:1. How many more flowers will the
garden planner need?

Answers

Answer:

224 more flowers

Step-by-step explanation:

If the planner wants the ratio of flowers to shrubs to be 12:1, that means there will be 12 times as many flowers as shrubs.

Find what 12 times the number of shrubs is:

24(12)

= 288

So, the planner will need 288 flowers in total.

Find how many more he needs to plant by subtracting the current amount of flowers from 288:

288 - 64

= 224

So, the garden planner will need 224 more flowers.

look at the image below

Answers

Answer:

282.7 mi^2

Step-by-step explanation:

Surface area of cone=pi*r*(r+l)=pi*5*18=282.7

Point C is on the midpoint of a section of highway, represented by AB. If AB = 32 miles,
AC = 4x miles, and CB = 12 + x miles, explain three different ways
that
you
could
solve for x.

Answers

To solve this question, we need to understand the concept of midpoint.

Doing this, we get that x is equals to 4 miles., and we find it using each of these three ways:

[tex]AC = CB[/tex][tex]AC = \frac{AB}{2}[/tex][tex]CB = \frac{AB}{2}[/tex]

Segment:

C is the midpoint of the segment AB, which means that:

The distance of the initial point A to the midpoint C is the same as the distance of the midpoint C to the final point B.

[tex]AC = CB[/tex]

The distance of the midpoint to one of the endpoints is half the total distance, that is:

[tex]AC = \frac{AB}{2}[/tex]

[tex]CB = \frac{AB}{2}[/tex]

Solution:

We have to solve for x, considering one of the three relations.

Considering:

[tex]AC = 4x, CB = 12 + x[/tex]

[tex]AC = CB[/tex]

[tex]4x = 12 + x[/tex]

[tex]4x - x = 12[/tex]

[tex]3x = 12[/tex]

[tex]x = \frac{12}{3}[/tex]

[tex]x = 4[/tex]

The solution for x is x = 4 miles.

A similar question is found at https://brainly.com/question/24114584

Let f(x)=r2+2 and g(x)=1–3x. Find each function value:
f(g(-1))

Answers

Answer:

18

Step-by-step explanation:

f(x)=x^2+2

g(x)=1–3x

f(g(-1))

First find g(-1) = 1-3(-1) = 1 +3 = 4

Then find f(4) = 4^2 +2 = 16+2 = 18

f(g(-1)) = 18

Please help explanation if possible

Answers

Answer:

160= 2W + 2L ; W = L –16

2W+2L=160 ] ÷2

W+L= 80

W=L–16

____o____o___

L-60+L= 80 —> 2L= 96

L=48

W=L–16 —> w= 48-16 =32

W=32 ; L=48

I hope I helped you^_^

If you help me, you will get this cookie

Answers

Answer:

B. 7y - 15

Step-by-step explanation:

Simplifying

10y + -3(y + 5) = 0

Reorder the terms:

10y + -3(5 + y) = 0

10y + (5 * -3 + y * -3) = 0

10y + (-15 + -3y) = 0

Reorder the terms:

-15 + 10y + -3y = 0

Combine like terms: 10y + -3y = 7y

-15 + 7y = 0

Solving

-15 + 7y = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + 7y = 0 + 15

Combine like terms: -15 + 15 = 0

0 + 7y = 0 + 15

7y = 0 + 15

Combine like terms: 0 + 15 = 15

7y = 15

Divide each side by '7'.

y = 2.142857143

Simplifying

y = 2.142857143

Answer:

b. 7y-15

Step-by-step explanation:

First, write out the expression

1. [tex]10y-3(y+5)[/tex]

To simplify the expression distribute the -3 to the terms within the paratheses.

2. [tex]10y-3y-15[/tex]

Then, combine like terms to simplify further. Since 10y and -3y are like terms they can be subtracted

3. [tex]7y-15[/tex]

This means that B is the correct answer.

Which expressions
are
equivalent to -6+4q+(-6q)?
Choose all answers that apply:
–6(q + 1) — 42
2(q -3)
None of the above

Answers

Answer:

None of the Above are correct

For the points shown:
The x-coordinate is ____
The y-coordinate is____
The point is in the coordinate___

Answers

Answer:

The x-coordinate is 4

The y-coordinate is 1

The point is in the quadrant Third quarter ( 3 )

I hope I helped you^_^

need help pleaseee!!!

Answers

Answer:

it should be the third option

Step-by-step explanation:

I hope this help

p-83=129 ?????????????????????????

Answers

Answer:

p = 212

Step-by-step explanation:

p-83=129

Add 83 to each side

p-83+83=129+83

p =212

Answer:=212

Step-by-step explanation:

add 83 to both sides and then simplify

−83=129

p-83=129

p−83=129

−83+83=129+83

Please help me with this

Answers

2x^2 -7x + 14 =0 is the standard form

For several weeks, the function f(x) = 3(4)* represented the number of birds
infected with an illness x weeks after the first birds became sick. How did the
number of sick birds change each week?
A. The number quadrupled each week.
B. The number increased by 4 each week.
C. The number increased by a factor of 3 each week.
D. The number increased by 3 each week.
SUBMI

Answers

I believe the answer is C

the height of the glass is 7cm and
the radius is 3cm If the glass is
half fill with water what will be
the answer

Answers

Pi =3.14
V=3.14*r^2*h
V= 3.14*3^2*(7/2)
V = 98.96 cm^3
If you mean how much water is in the glass

According to the graph, is f even, odd, or neither?

Choose 1 answer:
a. Even
b. Odd
c. Neither

Answers

Answer:

a

Step-by-step explanation:

an even function is symmetrical about the y- axis

This graph has symmetry about the y- axis and so is Even

A. Even

isjdhshsbwhjaa

Anup bought 50 glasses for Rs 1500 out of which 4 were broken. If he sold the rest of the glasses for Rs 35 each, how much profit or loss percentage did he bear?plz help me​

Answers

Step-by-step explanation:

CP of 50 glasses is given 1500 so,

CP of one glass is 1550÷50 it mean the cost price of one glass is 30

now it have your question has said 4 glasses with broken so ,

1500-120

1380

he sold each glasses at the cp of 35 so,

46×35

1610

now,

profit =SP-CP

1610-1500

=110

Actual profit is 110 and profit percent =actual profit/CP ×100

110/1500×100

=7.3333%

HELP ASAP
THANK YOU!!!

Answers

Answer:

C

Step-by-step explanation:

The function C has a range of (-infinity, a] and domain [b, infinity)

Which number line shows the solution to-3-(-1)

Answers

Answer is C hoped this helped

what is the mass of raisins in a package

Answers

Answer:

Step-by-step explanation:

12

can someone pls help me

Answers

On the last option, since you can substitute y=3x+1 into the other equations to solve for x.

Which function has the greater maximum value: f(x) = -2x2 + 4x+3, or g(x),
the function in the graph?
ту
g(x)
A. f(x)
B. g(x)
C. The functions have the same maximum value.

Answers

Answer:

B

Step-by-step explanation:

f(x) maxmum value is

[tex] \frac{ - 4}{ - 4} = 1[/tex]

[tex] - 2( {1}^{2} ) + 4(1) + 3 =

5[/tex]

G(x) minimum value is 6.

B is the answer.

What is the 6th term in the geometric sequence described by this explicit

formula?

an= 3.4(n-1)

Answers

Answer:

The 6th term is 3072.

Step-by-step explanation:

whats the gcf of 50,40
whats the gcf of 14,56,63

Answers

For 50 and 40 the GCF is 10
For 14,56,63 the GCF is 7
Hope this helps!
Would really appreciate it if given brainleist, thanks!

9514 1404 393

Answer:

107

Step-by-step explanation:

The GCF can be no larger than the difference between the numbers. That would be the first value you want to check to see if it is a factor of the numbers.

GCF(40, 50)

The difference is 10, which is a factor of both 40 and 50.

  GCF(40, 50) = 10

__

GCF(14, 56, 63)

You can figure the GCF pairwise, as GCF(14, 56) = 14; then GCF(14, 63) = 7. Or, you can look at the smallest difference between any pair of numbers. Here, that is 63 -56 = 7, which is a factor of all three numbers.

  GCF(14, 56, 63) = 7

_____

Additional comment

Euclid's algorithm has you compute the remainder from division of the largest by the smallest. When that remainder is non-zero, it replaces the largest, and you repeat. When the remainder is zero, the smallest is the GCF.

For example, let's look at the GCF of 14 and 63.

  63/14 = 4 r 7

  14/7 = 2 r 0 . . . . . 7 is the divisor, so is the greatest common factor

What is the area of the obtuse triangle below?
9
다.
11
O A. 49.5 sq. units
OB. 99 sq. units
C. 10 sq. units
D. 20.5 sq. units

Answers

Answer:

49•5

Step-by-step explanation:

A= hb×b÷2

given

hb=height=9

b=base=11

The area of the triangle will be 49.5 square units. Then the correct option is A.

What is the area of the triangle?

Assume 'h' is the height of the triangle and 'b' be the base of the triangle. Then the area of the triangle is given as,

A = (1/2) × h·b

The height of the triangle is 9 units and the base of the triangle is 11 units. Then the area of the triangle is calculated as,

A = 1/2 x 11 x 9

A = 11 x 4.5

A = 49.5 square units

The area of the triangle will be 49.5 square units. Then the correct option is A.

More about the area of the triangle link is given below.

https://brainly.com/question/19305981

#SPJ7

757divide 100=to in hours and minutes

Answers

Answer:

Step-by-step explanation:

757 minutes = 12 hours 37 minutes

I need help ASAP!!Please explain your answer

Answers

Answer:

240 ft^2

Step-by-step explanation:

The rectangular prism has 6 faces. Each two opposite faces have the same area. We need to find the areas of 3 faces that are not opposite faces, add them, and then multiply by two.

Top face:

7 ft by 6 ft

area = LW = 7 ft * 6 ft = 42 ft^2

Right face:

7 ft by 6 ft

area = LW = 7 ft * 6 ft = 42 ft^2

Front face:

6 ft by 6 ft

area = LW = 6 ft * 6 ft = 36 ft^2

Sum of areas of 3 faces:

42 ft^2 + 42 ft^2 + 36 ft^2 = 120 ft^2

Now we double the area to account for the 3 faces that are opposite each one of the three faces whose areas we calculated.

2 * 120 ft^2 = 240 ft^2

Answer: 240 ft^2

Cual es la raiz cudrada de 2

Answers

Answer:

1.4142135

Step-by-step explanation:

Six men working 8 hours a day dig a shamba in 5 days. How many more days will it take 4 men working 8 hours a day to finish the job?
NOTE:PLEASE EXPLAIN IN DETAIL !!!

Answers

6m=40hours

1m=40×6h

=240hours

4m=240÷4

=60 hours

divide 60 by 8

=7.5 days

thus,

4 men take 2 and 1/2 day more to complete the job.

Answer: 2 1/2days

Find the value of x.

A. 75
B. 80
C. 57
D. 40

Answers

Answer:

80

Step-by-step explanation:

since a=40

40x2 is 80

The value of x is 80 which is the correct answer would be an option (B)

What are the Angles of Intersecting Secants Theorem?

Angles of intersecting secants theorem states that, If two lines intersect outside a circle, then the measure of an angle formed by the two lines is one-half the positive difference of the measures of the intercepted arcs.

Given that angle ∠a = 40°

∠x = 2∠a

Substitute the value of ∠a = 40°

∠x = 40×2

∠x = 80°

Hence, the value of x is 80 degree

Learn more about the Angles of intersecting secants here:

brainly.com/question/15532257

#SPJ2

GIVING BRAINLY JUST ANSWER CORRECTLY !!

Answers

Answer:

b. never

Explanation:

A fraction is always in the form p/q, where q is not 0; or can be converted in that form (in case of mixed fraction).

A number is said to be irrational, if it cannot be expressed in the form p/q, where q is not 0.

how to solve 1168 divided by 8

Answers

The answer to this question is 146
If you use a calculator it will give you directly the answer and it’s 146
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