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Sum, because we have k 0 for the first term: 5 2 k 20 + 21 + 22 + 23 + 24 + 25 k 0 1 + 2 + 4 + 8 + 16 + 32 63 . Example 6 1 r(r 2 Evaluate + 1). r 1 Solution You might recognise that each number 21 r(r + 1) is a triangular number, and so this example asks for the sum of the first six triangular numbers. We get 6 1 r(r 2 + 1) 1 2 1 2 + r 1 + 1 2 1 2 2 3 + 5 6 + 1 2 1 2 3 4 + 1 2 4 5 6 7 1 + 3 + 6 + 10 + 15 + 21 56 . What would we do if we wer.

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