Sequences and Series - AP and GP

Find the common ratio of the geometric sequence:
 $2,\ \frac{1}{2},\ \frac{1}{8},\ \frac{1}{32},\ ...$  

•  $\frac{1}{3}$  

•  $\frac{1}{12}$  

•  $\frac{1}{16}$  

•  $\frac{1}{4}$  

Tags

CCSS.HSF.BF.A.2

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14
• 68
• 63
• 71

Tags

CCSS.HSF.BF.A.2

What is the 8^th term in the geometric sequence ?

• 49,152

• 196,608

• 12,288

• 8748

Tags

CCSS.HSF.BF.A.2

Find the sum of first 7 terms of geometric progression below:

4 - 8 - 16 - 32...

• 195

• 172

• 202

• 145

Tags

CCSS.HSA.SSE.B.4

What is the next term in the geometric sequence

0.75, 3, 12, 48, ... ?

• 96

• 144

• 192

• 240

Tags

CCSS.HSF.BF.A.2

The sixth term of a geometric sequence is 1215 and the third term is 45. Find the first term.

• 5

• 6

• 7

• 8

Tags

CCSS.HSF.BF.A.2

Classify the following sequence as arithmetic, geometric, or neither:

1, 1, 2, 3, 5, 8, 13, ...

• Arithmetic

• Geometric

• Neither

Tags

CCSS.HSF.BF.A.2

 $For\ what\ value\ of\ k\ -\frac{2}{7},k,\ -\frac{7}{2}\ are\ in\ G.P?$  

•  $only\ k=1$  

•  $only\ k=-1$  

•  $k=\pm1$  

• none of these

Tags

CCSS.HSF.BF.A.2

 $The\ third\ term\ of\ a\ G.P.\ is\ 5,\ the\ product\ of\ the\ first\ five\ terms\ is\$  

•  $5^5$  

•  $5^4$  

•  $4^5$  

•  $6^5$  

Tags

CCSS.HSA.SSE.B.4

The first term of a G.P is 1. The sum of the third term and fifth term is 90. The common ratio is

• 3

• -3

• $\pm$ 3

• none of these

Tags

CCSS.HSF.BF.A.2