PCH 8.3 Geometric Sequences & Series Practice

Find the 10th term of the geometric sequence 6, -2, 2/3, ... 

• 
  

   $-\frac{2}{6561}$  
  

• -.999

• -512

•  $-\frac{256}{3}$  

Tags

CCSS.HSF.BF.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

Given a geometric sequence where a₃ = 320 and a₆ = 20480, what is the common ratio?

• 4

• 20

• 64

• 6720

Tags

CCSS.HSF.BF.A.2

The 3rd term of a geometric sequence is 16/3 and the 5th term is 64/27. Assuming r is positive, Find the 7th term of this sequence. Write the answer as a simplified fraction.

• 
  

  $\frac{256}{243}$
  

• $\frac{4096}{19683}$

• $-\frac{217}{729}$

• $\frac{8}{243}$

Tags

CCSS.HSF.BF.A.2

Find the sum  $\sum_{n=1}^92\ ^{n-1}$  

• 511

• 1022

• -1024

• 0

Tags

CCSS.HSA.SSE.B.4

Evaluate the sixth partial sum of the geometric series:

-2 - 10 - 50 - 250...,

• -7812

• -9678

• -8686

• -9932

Tags

CCSS.HSA.SSE.B.4

Find S₉ of the series: -380 + 665 - 1163.75 + 2036.5625 - ….. Round your final answer to the nearest tenths.

• -21,409.45

• -58,875.98

• 78,501.31

• -33,426.28

Tags

CCSS.HSA.SSE.B.4

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

How do you know when an infinite geometric series will converge or diverge?

Which of the following infinite geometric series will converge?

• 24 + 18 + 13.5 + 10.125 + ...

• -50 + 75 - 112.5 + 168.75 - ...

• $\sum_{i=1}^{\infty}3(-0.5)^i$

• $\sum_{k=1}^{\infty}7(2)^{n-1}$