Geometric Sequence Find the Next Terms Practice

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

What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?

• Arithmetic

• Geometric

• Neither

Find the common ratio for the geometric sequence:
64, 16, 4,...

• 4

• -4

• ¼

• -¼

Determine the common ratio for the geometric sequence:
2, -12, 72, ...

• 6

• -⅙

• -6

• ⅙

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

Find a₁₂ for the rule a_n = 6(2)^n-1

• 4096

• 24,576

• 2048

• 12,288

Given the rule:  a_n = 7(½)^n-1
Identify the common ratio.

• a_n

• 7

• ½

• n-1