Sum of a Geometric Series

Evaluate the infinite geometric series:

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

• 5/4

• 9/5

• 5/6

• 65/27

Find the sum of the infinite geometric series, if it exists:

5 + 4 + 3.2 + 2.56 + ...

• 25

• 5

• -1

• 0.8

What is the sum of the first 10 terms for the following geometric series:
2-6+18-54+...

• 59048

• -29524

• 524288

• 3069

What is the value of r for the following sequence.
1/2+1/4+1/8+1/16+...

• 2

• -2

• 1/2

• -1/2

Which letter in the formula for the sum of the first n terms of a geometric series denotes the first term of the geometric series?

• a

• n

• r

• none of these

Find the sum of the first 4 terms of the geometric series 1 + 0.5 + 0.25 + ?

• 1.875

• 0.125

• 1.75

• None of these

What is the formula for the sum of the first n terms of a geometric sequence?

• None of these

Is the sum of the first n terms of a geometric series always positive?

• Yes

• no

What is the sum of the first 10 terms for the following geometric series:
1+1/2+1/4+1/8+1/16+...

• 0.999

• 0.002

• 9.8

• 1.998

Find the indicated sum for the geometric series.
S₆ for (-4/5) + 8 + (-80) + 800 + ....

• _S6 = 21,845

• _S6 = 72,000

• _S6 = 72,727.2

• _S6 = -128,840.8