Infinite Geometric Series

1-1/6+1/12-1/72+....

Find the sum of the infinite geometric series

• r=6/7

• r=3

• r=1/2

Which of the following is an example of infinite geometric series?

• 3+5+7+9

• 2+4+6+8+…

• 1/3+1/5+1/7+1/9

• 1/3+1/9+1/27+1/81 …

What is the sum of the terms of the infinite geometric sequence 1/3, 1/9, 1/27, 1/81, 1/243, …?

• 1/2

• 1/3

• 2

• 3

What is the sum of the terms of the infinite geometric sequence 25, 5, 1/5, 1/25…?

• 125/2

• 25/2

• 125/4

• 28/4

Which of the following is the sum of the terms of the infinite geometric sequence 16, 8, 4, 2 …?

• 32

• 64

• 128

• 164

In the infinite geometric sequence 27, -9, 3, -1, 1/3, -1/9 , …, what is the sum of its terms?

• 81/2

• 27/2

• 81/4

• 27/4

What best describes the following infinite geometric series:

1/2 + 3/4 + 9/8 + ...

• Diverges

• Converges

Determine if the series converges or diverges

• Converges

• Diverges

Find the sum of the infinite geometric series, if it exists:
2 + (16/7) + (128/49) + (1024/343) + ...

• Does not exist

• 14

• 208.32

Determine if the series converges or diverges

• Converges

• Diverges