AP Series | How to derive the general formula for finding the sum of n terms of an A.P Sequence

The sum of n terms of AP is the sum(addition) of first n terms of the arithmetic sequence. It is equal to n divided by 2 times the sum of twice the first term plus the last term.

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[@solomonnayambo56]

The second term of GP is equal to 8th term of AP. The first tern, common differenc and common ratio are all equal and non_zero. Fine the sum of the first five terms of the GP.