How do I solve this arithmetic sequence?

How Do I Solve This Arithmetic Sequence?

Answers

Answer 1

Answer:

The 16ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 9

Common Difference = (d) = 2

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 7 + (16 - 1) × 2

a₁₆ = 7 + 15 × 5

a₁₆ = 7 + 75

a₁₆ = 82

Thus, The 16ᵗʰ term of this sequence is 82

-TheUnknownScientist


Related Questions

what is the approximate circumference of a plate with a diameter of 12 inches? use 3.14 for π. Round to the nearest hundredth if necessary. (I really need this it's a test)​

Answers

Answer:

37.7

Step-by-step explanation:

C=πd=π·12≈37.69911

rounded to the nearest hundredth 37.7.

hoped this helped.

15(t-2v)
W-
V
Make v the subject of the formula

Answers

Answer:

v=15t/(w+30)

Step-by-step explanation:

multiply by w

wv=15(t-2v)

expand brackets

wv=15t-30v

+30v on both sides

wv+30v=15t

factorize to remove v

v(w+30)=15t

divide by (w+30)

v=15t/(w+30)

After making {v} the subject of the formula, we get -

v = 15t/(w + 2).

What is algebraic expression?

An algebraic expression in mathematics is a combination of terms both constant and variable. For example, we can write the algebraic expressions as -

2x + 3y + 5

2z + y

x + 3y

Given is to make {v} the subject of the formula -

w = 15(t - 2v)/v

The given equation is -

w = 15(t - 2v)/v

w = 15t/v - 2v/v

w = 15t/v - 2

w + 2 = 15t/v

v = 15t/(w + 2)

Therefore, after making {v} the subject of the formula, we get -

v = 15t/(w + 2).

To solve more questions on equivalent expression, visit the link-

https://brainly.com/question/1041084

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Figure 2 is a scale image of Figure 1, as shown below.
What is the scale factor applied to Figure 1 to produce Figure 2

Answers

Answer:

1.3

Step-by-step explanation:

when you divide figure 2 by figure 1 you get 1.3

4x−(2x−9)−12x How many terms, constants, and coefficients?

Answers

3 Coefficients 1 Constant but i’m not sure what you mean by terms.

What are some properties and uses of the square root function?

Answers

Answer:

The domain of the square root function f(x)=√x is given in interval form by: [0,+∞)

The range of the square root function f(x)=√x is given in interval form by: [0,+∞)

The x and y intercepts are both at (0,0)

The square root function is an increasing function.

Find the perimeter of the figure. Round all figures to the nearest hundredths place.
Isosceles trapezoid

A 70.24 ft
B 74.48 ft
C 79.42 ft
D 92.84 ft

Answers

Answer:92.84

Step-by-step explanation: 39+27+13.5+13.5 because the two sides are longer than 12

The perimeter of the trapezium is 143.94 ft.

We have,

The perimeter of an isosceles trapezium can be found by adding the lengths of all four sides.

In this case, the trapezium has height = 12 ft and parallel sides of length 27 ft and 39 ft.

To find the length of the non-parallel sides we can use the Pythagorean theorem:

a² = (39 - 27/2)² + 12²

a² = 1440

a ≈ 37.95 ft

Therefore,

The perimeter of the trapezium is:

P = 27 + 39 + 2a

P ≈ 27 + 39 + 2(37.95)

P ≈ 143.9 ft

Rounding to the nearest hundredth place,

we get P ≈ 143.94 ft.

Thus,

The perimeter of the trapezium is 143.94 ft.

Learn more about trapezium here:

https://brainly.com/question/22607187

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i need help pleeeeease

Answers

Answer:

5

Step-by-step explanation:

because by solving that the answer comes 5.70

A rabbit population triples every year. If the rabbit population starts with 4 rabbits, then how many will there be in 6 years?

Answers

Answer:

there would probably be around 60 rabbits

write 3^n / 9^n-1 as a power of 3

Answers

Answer:

(1/3)³ = 1/27

Step-by-step explanation:

(3^n / 9^n-1)^3 =

3^3n / 1 x 1 / 9^3n-3 =

(1/3)^3 = 1/27

PLS HELP IF U DONT KNO DONT ANSWER PLS

Answers

Answer: A, I think

Step-by-step explanation:

Answer:

Step-by-step explanation:

→ Thanks ← God bless keep ur head up king/queen and have a good rest of ur day

max finds the product of 3/7 x 16. Which statement is true

Answers

It equals 48/7 or 6 6/7

Complete the square to re-write the quadratic function in vertex form: y = x ^ 2 - 2x - 8

Answers

Answer:

[tex]y=(x-1)^2-9[/tex]

Step-by-step explanation:

[tex]y=x^2-2x-8[/tex]

To complete the square:

[tex]\frac{b}{2}=(-1)^2=1[/tex]

[tex]y=x^2-2x-8[/tex]

[tex]+9[/tex]                 [tex]+9[/tex]

[tex]y+9=x^2-2x+1[/tex]

[tex](x-1)^2=y+9[/tex]

          [tex]-9[/tex]         [tex]-9[/tex]

[tex]y=(x-1)^2-9[/tex]

Find the value of x and the length of each chord.

Answers

Answer:

-50

Step-by-step explanation:

please i need this due now and DO NOT GIVE ME A LINK FOR THE ANSWER
Write two different polynomials with a difference of
−3x2 + 5x − 7.

Answers

Answer:

Y = -3(x - 5/6)^2 - 59/12 and  x = 5±i√59/6

Step-by-step explanation:

Pls give brainllest

Las longitudes de dos lados de un octágono regular están representadas por las expresiones 2x + 4 y 3x-8. Encuentra la longitud de un lado del octágono

Answers

Answer:

La longitud del lado del octágono es de 28 unidades.

Step-by-step explanation:

Si las longitudes de los dos lados pertenecen a un octágono regular, entonces se satisface la siguiente condición:

[tex]2\cdot x + 4 = 3\cdot x - 8[/tex] (1)

A continuación, despejamos [tex]x[/tex] en (1):

[tex]3\cdot x - 2\cdot x = 4 + 8[/tex]

[tex]x = 12[/tex]

Ahora, determinamos la longitud del lado del octágono: ([tex]x = 12[/tex])

[tex]l = 2\cdot x + 4[/tex]

[tex]l = 28[/tex]

La longitud del lado del octágono es de 28 unidades.

What is the equation in slope-intercept form of the line that passes through the points ( -4 , 2) and (12, 66)?
A. y=0.25x+3
B. y=0.25x-4.5
C. y=4x+18
D. y=4x-42

Answers

i think maybe B, not sure

area of triangle with
width= 18cm
breadth=14cm
height=11cm

Answers

Answer:

99

Step-by-step explanation:

i have all the steps in the comments of ur question

PLS DO THIS
NO LINK I WILL REPORT U​

Answers

Answer:

The mode is the number that occurs the most which would be 8.

Step-by-step explanation:

For example

2, 3, 4, 4, 5

The mode would be 4 since it's the most frequent.

The number of guests, g, coming for dinner
is not 8

Answers

Answer:

g < 8

rip 5 days ago

Explain why triangle ABC is similar to triangle CFE

Answers

Answer:

It's exactly the same, except the size

Step-by-step explanation:

Answer:

They are similar because if you look at the length of 2 of the sides that you know

Triangle ABC has side length 1 and 2 or 1:2

CFE has sides length 2 and 4 or 2:4 and 2:4 can also be written as [tex]\frac{2}{4}[/tex] which is a fraction, and fractions can be simplified to 1:2.

So they are similar but just one is bigger then the other.


Quadrilateral A’B’C’D’ is a dilation of ABCD about point F.

Please Help. Urgent


What is the scale factor?

A. 0.4
B. 1.5
C. 2.5
D. 5

Answers

The answer to the equation is 2.5

6_7/8 Rename the mixed number by regrouping?

Answers

Answer:

We have 5 slices and

each whole is made up

of 4 slices,

.

We have 6 slices and

each whole is made up

of 4 slices,

.

Altogether, we have 2

wholes and 3 quarters,

Step-by-step explanation:

Step 1: Keep the denominator the same.

Step 2: Add or subtract the numerators.

Step 3: If the answer is an improper form, reduce the fraction into a mixed numbe

Round each weight to the nearest ounce

Answers

Answer:

1

4

4

2

Step-by-step explanation:

well 1.35 so when you round if its 50 you would round up and if its any lower you round down.

Don bought four tomato plants that cost $2.38 each he paid $0.76 sales tax how much change will he receive from $10

Answers

He will pay 0.28 dollars

plsss beggg i need this right now. deadline now at 6:00 pm and it's 5:03 here so please answer this :(​

Answers

Answer:

Step-by-step explanation:

-First one is -17.3

-6 months

-ıdk this one

HWLP PLLLLLLLLLLLLLZZZZZZZZZZZZZZZZZ

Answers

Answer:

7 hours

Step-by-step explanation:

Answer:

7 hours

Step-by-step explanation:

4x + 32 =60       -32  -32______________4x/4=28/4divide this (28/4) and your answer should be 7 hours

Evaluate: cos ω, if tan ω = - 4/3 and sin ω > 0

Answers

Answer:

-3/5

Step-by-step explanation:

tan = opp/adj using pathagorean the hypt is 5

cos = 3/5

tan is negative in quad 2 and 4

sin is positive in quad 1 and 2

so because tan is negative and sine is positive the cosine is negative

-3/5

Is the coordinate pair (3, 3) a solution to the inequality y > 2x - 3?

Answers

Given:

The inequality is:

[tex]y>2x-3[/tex]

The point is (3,3).

To find:

Whether the coordinate pair (3, 3) is a solution to the given inequality or not.

Solution:

We have,

[tex]y>2x-3[/tex]

Check the inequality for the point (3,3). Substituting [tex]x=3,y=3[/tex], we get

[tex]3>2(3)-3[/tex]

[tex]3>6-3[/tex]

[tex]3>3[/tex]

This is a false statement because 3 is not greater than itself.

Since (3,3) does not satisfy the given inequality, therefore (3,3) is not a solution to the given inequality.

Now we can check the solution graphically. From the graph it is clear that the point (3,3) lies on the boundary line.

The boundary line is a dotted line, it means the point on the boundary line are not included in the solution set.

Therefore, (3,3) is not a solution to the given inequality.

I need help as soon as poible
π×5×5×7=

Answers

Answer:

549.5

Step-by-step explanation:

For a estimate of pi we use 3.14. So 3.14x5x5x7=549.5

For a realistic answer its 549.778714378.....

Steven bought a watch for $140 and added a 40% markup before reselling.

What was the amount of markup?

Answers

Answer:

$196

Step-by-step explanation:

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