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Tim Gan Math

2002 A-Level H2 Mathematics

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Question 3Recurrence Relations and Summation

The $n$ th term of a series is ${{2}^{n-2}}+3n$. Find the sum of the first $N$ terms.

Final Answer:

\(S_N = \displaystyle\frac{1}{2}(2^N - 1) + \frac{3}{2}N(N+1)\)