Write a rule for the nth term of the geometric sequence:
a3=54, a6=1458

Answers

Answer 1

Answer:

tn = -1350 + 468n  

Step-by-step explanation:

First, we need to find the difference.

1458 - 54 / 6 - 3

= 468

Now we need to find the first term.

t3 = t1 + (n - 1) (d)

54 = t1 + (3 - 1)(468)

54 = t1 + (2)(468)

54 = t1 + 936

-882 = t1

The rule is:

tn = -882 + (n-1) (468)

tn = -882 + 468n - 468

tn = -1350 + 468n  


Related Questions

Find the measure of each labeled angle A(3x-20) B(2x) C (2x-15)

Answers

Answer:

Measure of angle A = 100°

Measure of angle B = 80°

Measure of angle C = 65°

Step-by-step explanation:

From the given picture,

Angle A and angle B are the linear pair of angles, and linear pair of angles are supplementary angles,

m(∠A) + m(∠B) = 180°

(3x - 20)° + (2x)° = 180°

5x - 20 = 180

5x = 200

x = 40

By substituting the value of x in the measures of each angle,

m(∠A) = (3x - 20)°

          = 3(40) - 20

          = 120 - 20

          = 100°

m(∠B) = 2x°

          = 2(40)

          = 80°

m(∠C) = (2x - 15)°

          = 2(40) - 15

          = 80 - 15

          = 65°

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

since it is Right angled isosceles triangle it's base side are equal

by using Pythagoras law

x²+x²=1²

2x²=1

x=√{1/2}or 0.707 or 0.71

What is 2x+5g+7y+1.52x+32.6+5.1g+11.1+9y simplified?

Answers

3.52x+10.1g+16y+32.6

Answer:

10.1g+3.52x+16y+43.7

Step-by-step explanation:

Help please the question is in the photo

Answers

First one (ignore22222323333333)

Abir walks four twelfths of a mile to school. Nadia walks two twelfths of a mile to school. How much farther does Abir walk than Nadia?

Answers

Answer:

SHe has walked 2 more miles more than the other person

Step-by-step explanation:

write two inequalities to
compare -12 and -6

write two inequalities to compare 8 and -10

Answers

Answer:

First one:     -12 < -6

                    -6 > -12

Second one:

                     -8 > -10

                     -10 < -8

Step-by-step explanation:

Well you just compare them with greater then or less then signs.

plz tell about congruent and similar triangles​

Answers

Similar: If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

____________________________________________________________

Congruent: SAS stands for "side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal. If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

One of Carla's friends suggests that she survey only eighth-graders because they are the
oldest and probably know more about the election than younger students. Do you think
this suggestion creates a random sample? Explain.

Answers

Answer:

This example is not a random example due to the fact that it is only questioning the eighth-graders. Random sample means that the sample is chosen simply randomly and everyone has an equal opportunity to be apart of the sampling.

Step-by-step explanation:

Larry spends half of his workday teaching piano lessons. If he sees 6 students, each for the same amount of time, what fraction of his workday is spent with each student? *

Answers

Answer:

1/12

Step-by-step explanation:

bc ik

Answer:

the right answer is 1/12

Step-by-step explanation:

78/0000

67

777

7654

The Fast Repair Shop charges a $25 fee plus $30 an hour for labor. Write the equation for the cost of the repair job, y, if the repair job took x hours.​

Answers

Answer:

y=30x+25

Step-by-step explanation:

y=mx+b (slope-intercept formula)

y= amount of money per hour of labor

m= 30 (amount per hour, slope)

b= 25 (y-intercept, starting rate)

What is the slope of the line that
passes through these two points?
(1, 2)
(2, 8)
(x1.yı) Slope =
rise (y2-yı)
Remember, given two points,
(x2:y2) run (x2-x1)

Answers

Answer:

6

Step-by-step explanation:

8 - 2 / 2 - 1

6 / 1

6

What’s the answer????

Answers

Answer:

I believe its 10 but forgive me if I'm wrong

48/6 = 8 highlights in each box

A figure is made up of with seven X rodes and five Y rodes . If X= 3 and Y= 5 calculate the perimeter with the formula.

OPTIONS:
8
46
50
40

Answers

46? Since we got 7*3+5*5 and that is 21+25=46.

How do the number of faces, vertices, and edges of a cube compare to the number of faces, vertices, and edges of a tetrahedron? A cube has more faces than a tetrahedron. A cube has more vertices than a tetrahedron. A cube has more edges than a tetrahedron.

Answers

Answer:

it is 2, 4 and 6

Step-by-step explanation:

x/3 less than or equal to 7

Answers

Answer:

x ≤ 21

Step-by-step explanation:

x/3 ≤ 7

x ≤ 21

Answer:

x ≤ 21

Step-by-step explanation:

With this problem, we have to solve for x, and to do that, we isolate the variable.

To do this, let’s get rid of the /3 from the x by multiplying both sides by 3

now we get x ≤ 7 times 3

finall, we get x≤21

help i need this to be answerd

Answers

Answer:

What is it, you need help with?

Step-by-step explanation:

:)

488, 460, 520, 544, 535
What is the range of the data?

Answers

Answer:

84

Step-by-step explanation:

To find the range, find the difference between the largest value and the smallest value.

544 - 460 = 84

How can she might choose a random sample of five students from her class of 35 students?


Answers

Answer:

who?

Step-by-step explanation:

You place two wooden support beams under a shelf, as shown. Find the value of x

Answers

Answer:

17x

Step-by-step explanation:

so first 2x is 2 x x = 2x

then +10 =12x then 5 + x = 5x so 5x + 12x = 17x

Write the coordinates of the vertices after a dilation with a scale factor of 3, centered at the origin. 10 B 10 0 10 А С 10 A(1, 2) A'l B(1, 3) - BC​

Answers

Answer:

A'=(4,-8)

B'=(4,12)

C'=(-12, -12)

Step-by-step explanation:

Ad 3 to the location you are heading remember first is x then y so (x, y)

X is always left and right

Y is always up or down

help me with this plsss

Answers

i’m trying to get points ignore this, sorry i didn’t know how to help :(!

B
39 m
Use the inverse trigonometric keys
on a calculator to find the measure
of angle A.
А
21 m
с
A=
(Round the answer to the nearest whole number.)

Answers

Answer:

the answer is 20 because you round of 21


Urgent!!!!!

12. Arrange the stages of municipal council election by writing 1-7 in the
correct place. (2 marks each)
Stages in municipal elections
Girst (1) to last (17)
People going to the polling station to
Councilors campaign for election.
The number of votes for each division
is counted.
Voters vote by secret ballot.
Candidates nominated by two main
political parties.​

Answers

provide the passage or a picture of it please thx

What is the measure of ∠x?

Answers

Answer:

117+x=180°(sum of straight line)

Step-by-step explanation:

x=180-117

x=63

It should be 105.

44 + 31 = 75

180 - 75 = 105.

B. use the figur on the right side to classify the pair of Angeles.



________1.<5 and <1
________2.<6 and <3
________3.<7 and <2 ​

Answers

DON'T OPEN IT, IT WILL GIVE YOU A VIRUS!!!

Identify the end behavior of the function f(x) = 6x^4 - 12x^3 +8x -10

Answers

Answer:

Step-by-step explanation:

This is a quartic  equation with a positive coefficient for x^4 so it is shaped like an M xo ir rises to both the left and the right.

Use the following graph to solve the equation 3n + 7 = 52

Answers

Answer:

[tex]3n + 7 = 52 \\ 3n = 52 - 7 \\ 3n = 45 \\ n = \frac{45}{3} \\ n = 15[/tex]

Graph is not inserted.

Hopes this helps:

Answer: 15

1. Subtract 7 from both sides.
3n = 52 - 7


2. Simplify 52 - 7 to 45.
3n = 45


3. Divided both sides by 3.
N = 45/3


4. Simplify 45/3 to 15.
N = 15

Convert 456,300,000 to scientific notation.

Answers

Answer:

I believe it would be 4.563 x 10^8

The area of the following parallelogram is 77m2. What is the length it’s base?

Answers

Answer:

11 maybe???

Step-by-step explanation:

can someone please help me with this question?? (no links!!!)

Answers

Answer:

960

Step-by-step explanation:

it says use 3 for pi, so you plug the values into given equation

V = 3·(4)²·20

r is 4 because it is half of 8.

Then multiply

3·16·20 = 48·20 = 960

Answer:

960 cm

Step-by-step explanation:

8/2 = 4 (radius)

3 (since we're using 3 for pi) * 4^2 * 20

3 * 16 * 20

48 * 20

= 960 cm

I hope this helps heh :)

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