Geometric Sequence Formulas

Write the explicit rule for the following geometric sequence: 2, -12, 72, ...

• a_n = 72(-6)^n-1

• a_n = 2(-6)^n-1

• a_n = 2(6)^n-1

• a_n = 72(-6)^n-1

Tags

CCSS.HSF.BF.A.2

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

• 20, 100, 500, 2500

• 5, 20, 80, 320

• 4, 20, 100, 500

• 4, 9, 14, 19

Tags

CCSS.HSF.BF.A.2

Find the 11^th term for:  64, -32, 16, -8, …  

• -.0625

• .0625

• -.03125

• .03125

Tags

CCSS.HSF.BF.A.2

Find a₁₁ in the following geometric sequence:

• -4,096

• -¹/₂₅₆

• -3,072

• -236,196

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

Find the common ratio for the geometric sequence.

• 10

• 1/2

• 2

• 4

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

What is the 9^th term in a geometric sequence with a common ratio of 2 and a first term of 3?

• 384

• 768

• 1,536

• 27

Tags

CCSS.HSF.BF.A.2

Find the common ratio: 64, -16, 4, -1, ...

• r = -8

• r = -1/4

• r = -4

• r = 4

Tags

CCSS.HSF.BF.A.2

Determine whether the sequence is arithmetic, geometric, or neither.

• arithmetic

• geometric

• neither

Tags

CCSS.HSF.BF.A.2