Consider the following series. 1/4 + 1/8 + 1+12 + 1/16 + 1/20

Required:
Determine whether the geometric series is convergent or divergent.

The series is convergent.

Step-by-step explanation:

1/4 + 1/8 + 1+12 + 1/16 + 1/20

In each term, the numerator stays 1, while the denominator is multiplied by 4. Thus, the series is given by:

Convergence test:

We compare the sequence of this test, , with a sequence .

If , the series is convergent. So

As the limit is different of zero, the series is convergent.

answer:

your answer is: c. 196 7/8 in^3.

step-by-step explanation:

well if you round, things become much more simple. round 5.95 to 6, 4.25 to 4, and 1.05 to 1. now, add 6+4+1 and that would equal 11. so the items together would equal to about $11.