Question

Find the sum of 1 + 1/3 + 1/6 + 1/10 + 1/15 + 1/20
a 1
b 2
c 4
d 3

Answer 1

To find the sum of the series 1 + 1/3 + 1/6 + 1/10 + 1/15 + 1/20, we need to find a common denominator of 60 and then add all the fractions together. The sum of the series is 103/60. Hence the correct answer is option B

Step-by-step explanation:

To find the sum of the series 1 + 1/3 + 1/6 + 1/10 + 1/15 + 1/20, we need to find a common denominator for all the fractions. The common denominator will be the least common multiple (LCM) of the denominators, which is 60.

Now, we can rewrite each fraction with the denominator 60.

1 = 60/60, 1/3 = 20/60, 1/6 = 10/60, 1/10 = 6/60, 1/15 = 4/60, and 1/20 = 3/60.

Adding all these fractions together, we get 60/60 + 20/60 + 10/60 + 6/60 + 4/60 + 3/60 = 103/60.

Therefore, the sum of the series is 103/60.

Hence the correct answer is option B