If we know that five numbers form an arithmetic sequence, and their sum is 5, and their sum of squares is 165, we can find these five numbers

Let the five numbers be:
a-2d a-d a a+d a+2d
Because sum is 5, so 5A = 5, a = 1
And then these five numbers become
1-2d 1-d 1 1+d 1+2d
Then add up each one of them squared to 165, and I'm sure you'll solve it

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