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If the sum of the first n terms of an AP...

If the sum of the first n terms of an AP is `4n-n^2`, what is the first term (that is `S_1`)? What is the sum of first two terms? What is the second term? Similarly, find the 3rd, the 10th and the nth terms.

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To solve the problem step by step, we will follow the instructions given in the video transcript. ### Step 1: Find the first term (S1) The sum of the first n terms of an arithmetic progression (AP) is given by the formula: \[ S_n = 4n - n^2 \] To find the first term \( S_1 \), we substitute \( n = 1 \) into the formula: \[ S_1 = 4(1) - (1)^2 \] ...
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