Question

The Sum of Five numbers in an Arithmetic Progression is 25 and the sum of their squares is 165, find the common difference​

Answer 1

The common difference is 2.

Explanation:

First, our 5 are numbers 1, 3, 5, 7, and 9. Using these numbers, we can create the arithmetic progression formula of An=2n-1. We are also sure that our numbers are correct because when we square each number and add them up, it totals 165. Since the previous number is always 2 less than the current number, the common difference is 2.

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