Geometric Sequence

Find the common ratio for the geometric sequence.

• 2
• -2
• 1/2
• -1/2

What is a₅ ?

• -64

• -24

• -32

• Not enough information

What is a₅?

• -1875

• -550

• -1055

• Not enough information

Write the explicit formula for the geometric sequence.

• a_n = 10(2)^n-1
• a_n = 2(10)^n-1
• a_n = 10(2)ⁿ
• a_n = 2(10)ⁿ

Write the explicit 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

Find the next three terms for the geometric sequence:
64, 16, 4,...

• 0, -4, -8
• 1, ¼, 1/16
• 1, -3, -7
• cannot be determined

Find the next three terms for the geometric sequence:
2, -12, 72, ...

• 432, 2592, 15,552
• -432, 2592, -15,552
• 3672, 25,272, 154,872
• cannot be determined

Find the eighth term of a geometric sequence for which a₃ = 224 and r = -½.

• -28
• -112
• 56
• -7

Find the first four terms of the sequence given the rule:
a₁ = 10: a_n = a_n-1(3)

• 3, 9, 27, 81
• 10, 30, 90, 270
• 10, 13, 16, 19
• 30, 90, 270, 810

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