Geometric Sequences 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

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

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

• 4
• -4
• ¼
• -¼

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

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

• 6
• -⅙
• -6
• ⅙

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

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

• -28
• -112
• 56
• -7

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

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

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

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 a₁₂ for the rule a_n = 6(2)^n-1

• 4096
• 24,576
• 2048
• 12,288

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

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

• a_n
• 7
• ½
• n-1

256, 128, 64, 32, ...

How do you know what's next?

• NEXT = NOW • 2

• NEXT = NOW • 1/2

• NEXT = NOW + 2

• NEXT = NOW ÷ 1/2

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2