Geometric Sequences & Series

Find the common ratio for the geometric sequence.

• 10
• 1/2
• 2
• 4

Tags

CCSS.HSF.BF.A.2

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

• 1024, 2048, 4096

• 32, 8, 2

• 64, 32, 16

• 92, 66, 38

Tags

CCSS.HSF.BF.A.2

Given the sequence:

125, 25, 5, ....

Write the rule a_n using the geometric sequence formula:

• a_n = (125)(1/5)^(n-1)

• a_n = 625(1/5)^(n-1)

• a_n = 625(5)^(n-1)

• a_n = 125 + 5n

Tags

CCSS.HSF.BF.A.2

The rule for finding a_n of a geometric sequence is

a_n = 10(2)^n-1 _{What is the common ratio(r) of the sequence?}

• ²

• ¹⁰

• ²⁰

• 2ⁿ

Tags

CCSS.HSF.BF.A.2

A geometric sequence has a common ration(r) of 3 and the 8th term (a₈) is 13,122. What is the first term of the sequence (a₁)?

• 3

• 6

• 18

• 2

Tags

CCSS.HSF.BF.A.2

Write an explicit rule for the general term of the sequence 5, 15, 45, . . . ?

• a_n = a_n-1 x 3
• a_n = 5(3)^n-1
• a_n = 3(5)^n-1
• a_n = 5 + (n-1)3

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• a_n = 2(100)^n-1
• a_n = 100(2)^n-1
• a_n = 100(1/2)^n-1
• a_n = (1/2)(100)^n-1

Tags

CCSS.HSF.BF.A.2

What is the nth term rule for the sequence:

11, 22, 44, 88...

• U_n = 2(11)^n-1

• U_n = 11x2

• U_n = 11(2)^n-1

If a₂=30 and r = 1/2. Find the rule for the nth term.

• a_n=15(1/2)^n-1

• a_n=60(1/2)^n-1

• a_n=30(1/2)^n-1

• a_n=30(2)^n-1

If a₃=27 and r = 3. Find the rule for the nth term

• a_n=27(3)ⁿ

• a_n=9^n-1

• a_n=3(3)^n-1

• a_n=3(3)ⁿ