Question

1 Find the sum of the following series,1,4/5,16/25,64/125​

Answer 1

Answer:

256/625

Step-by-step explanation:

1*4/5

4/5*4/5=16/25

16/25*4/5=64/125

64/125*4/5=256/625

Answer 2

Given: The given series is 1,4/5,16/25,64/125.

To find: We have to find the sum of the series.

Solution:

The series is as follows 1,4/5,16/25,64/125.

To determine the sum of the series we have to follow the following steps-

We have to determine the l.c.m of the denominators.

The l.c.m of the denominators that are 5,25 and 125 is 125.

The sum will be-

$1 + \frac{4}{5} + \frac{16}{25} + \frac{64}{125} \\ \frac{125 + 4 \times 25 + 16 \times 5 + 64}{125} \\ \frac{125 + 100 + 80 + 64}{125} \\ \frac{369}{125}$

Thus, the result of the sum is 369/125.

The sum of the series is 369/125.