Geometric Sequences and Series

What is the sum of the first ten terms of the sequence 4, -12, 36, -108 . . . ?

• 59,050
• -59,048
• -78,732
• 118,096

Tags

CCSS.HSA.SSE.B.4

What is the twelfth term in the sequence 3, -6, 12, . . . ?

• -2,048
• 6,144
• -6,144
• -531,441

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

The next two terms of the sequence 8,4,2,1, 1/2 are

• 1/3 and 1/4
• 1/4 and 1/8
• 1/8 and 1/6
• 1/5 and 1/7

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

Find the 13th term: 
2, 6, 18, 54, ….

• 1,000,000
• 1,062,882
• 123,587
• 5 bazillion

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Find the sum of the first 9 terms:  -2 + -6 + -18 + ...  

• -59,048
• -39,366
• -19,682
• -4,374

Tags

CCSS.HSA.SSE.B.4

Find the common ratio: 16, 8, 4, 2, ...

• r = 2
• r = 8
• r = 1/4
• r = 1/2

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

The next term of the sequence 2,4,8,16 is

• 64

• 32

• 108

• 20

Tags

CCSS.HSF.BF.A.2

Find the 10th term of the following geometric sequence

5, 20, 80, 320, ...

• 81,920

• 327,680

• 1,310,720

• 5,242,880

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

What would be the missing terms of the series

-1 - 5 - 25 - ... - 78125

• 125 + 625 - 3125 + 15625

• 125 - 625 - 15625

• 125 - 625 - 3125 - 15625

• 625 - 3125 - 15625

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

 $a_n=a_1r^{n-1}$  

Given the formula for a geometric sequence , r stands for

• common difference

• wanted term

• common ratio

• first term

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2