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Find the sum of the series 1+4+10+22+......

Find the sum of the series `1+4+10+22+...`

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To find the sum of the series \( S = 1 + 4 + 10 + 22 + \ldots \), we will first identify the pattern in the terms of the series and then derive a formula for the \( n \)-th term. ### Step 1: Identify the pattern in the series The given series is: - \( T_1 = 1 \) - \( T_2 = 4 \) - \( T_3 = 10 \) - \( T_4 = 22 \) ...
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