Question

Find the sum of the following infinite geometric series:

111 - 1/32 + 5/80 - 5/80³ + ............

A. 1023/256
B. 2047/512
C. 4095/1024
D. 8191/2048
E. None of the above

Answer 1

To find the sum of an infinite geometric series, we can use the formula: Sum = a / (1 - r), where 'a' represents the first term and 'r' represents the common ratio. Answer: None of the above

Step-by-step explanation:

To find the sum of an infinite geometric series, we can use the formula:

Sum = a / (1 - r)

Where 'a' represents the first term and 'r' represents the common ratio. In this case, the first term (a) is 111 and the common ratio (r) is -1/32. Plugging these values into the formula, we get:

Sum = 111 / (1 - (-1/32))

Sum = 111 / (1 + 1/32)

Sum = 111 / (33/32)

Sum = 111 * (32/33)

Sum = 1088/11

So the sum of the infinite geometric series is 1088/11.

Answer: None of the above