Write the following series using summation notation 1 12 1

Write the following series using summation notation: 1 - 1/2 + 1/3 - 1/4 + 1/5 - 1/6

Start the summing index at k = 1

Solution

1-1/2 + 1/3 -1/4 +1/5 -1/6

Here the denominators are

1,2,3,4,5,6 which is in arithmetic progression

a_n=a+(n-1)d =1+(n-1)1= n

SO the submission series is