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If the sum of the first 14 terms of an A...

If the sum of the first 14 terms of an AP is 1050 and its first term is 10, find the `20^(t h)` term.

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To solve the problem step by step, we will use the formula for the sum of the first n terms of an arithmetic progression (AP) and the formula for the nth term of an AP. ### Step 1: Write down the formula for the sum of the first n terms of an AP. The sum of the first n terms (S_n) of an AP can be calculated using the formula: \[ S_n = \frac{n}{2} \times (2A + (n - 1)D) \] where: - \( S_n \) = sum of the first n terms - \( A \) = first term ...
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