Geometric Sequence and Series

Find the common ratio: 16, 8, 4, 2, ...

• r = 2

• r = 8

• r = 1/4

• r = 1/2

Find the 10th term of the following geometric sequence

5, 20, 80, 320, ...

• 81,920

• 327,680

• 1,310,720

• 5,242,880

Given the formula for a geometric sequence , r stands for

• common difference

• wanted term

• common ratio

• first term

Find the 7th term in the sequence when the first term is 2, and the common ratio is 4

• 8192

• 32768

• 2048

• 512

Write the formula for the geometric sequence.

• a_n = 4(3)^n-1

• a_n = 3(4)^n-1

• a_n = -4(3)^n-1

• a_n = 3(-4)^n-1

• initial value

• increment

• starting point

• change rate

• common ratio

• opens up/down

• distance

• slope

• first term

• common difference

Find the first 6 terms of the sequence

• 1, 2, 6, 18, 54, 162

• 2, 6, 18, 54, 162, 486

• -2, -6, -18, -54, -162, -486

• -2, 1, 4, 7, 10, 13

List the first five terms of the geometric sequence. Assume that the sequence begins at n = 1.

• 1 , 3 , 6 , 9 , 12

• 3 , 9 , 27 , 81 , 243

• 0 , 1 , 3 , 9 , 27

• 1 , 3 , 9 , 27 , 81

What is the sum of the first ten terms of the sequence 4, -12, 36, -144 . . . ?

• 59,050

• -59,048

• -78,732

• 118,096

The next term of the sequence 2,4,8,16 is

• 64

• 32

• 108

• 20