Geometric Sequence & Series-Math 101

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.2

What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47 + ...?

• 1,600
• 18,235
• 18,475
• 19,125

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

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

Find the 13th term: 
2, 6, 18, 54, ….

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

Tags

CCSS.HSF.BF.A.2

Find the next three terms: 3, -18, 108, -648

• -6480, -3880, -233280
• 6480, -38880, 233280
• 5184, -31104, 186624
• 3888, -23328, 139968

Tags

CCSS.HSF.BF.A.2

Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...

• 81
• -34
• -146
• -225

Tags

CCSS.HSF.BF.A.2

Find the next three terms: 3, -18, 108, -648

• -6480, -3880, -233280
• 6480, -38880, 233280
• 5184, -31104, 186624
• 3888, -23328, 139968

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

• r = 2
• r = 8
• r = 1/4
• r = 1/2

Tags

CCSS.HSF.BF.A.2

A bouncing ball reaches heights of 16 cm, 12.8 cm, and 10.24 cm on three consecutive bounces. If the ball was originally dropped from 25 cm (a₁ = 25), how much total distance in the downward direction has the ball traveled after five bounces? 

• 25 cm
• 84.04 cm
• 53.7956 cm
• 59.04 cm

Tags

CCSS.HSF.BF.A.2