How many terms of the AP 63, 60, 57, 54, ….. must be taken so that their sum is 693? Explain the double answer.
How many terms of the AP 63, 60, 57, 54, ….. must be taken so that their sum is 693? Explain the double answer.

Solution:

The AP here is 63, 60, 57, 54,…
Here, a = 63 and d = 60 – 63 = -3

Also, the sum = 693
Let number of terms be n, then we can say that:

Therefore, the 22nd term is zero. There will be no effect on the sum. The number of terms is 21 or 22.