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Evaluation of summation in Sigma notation

Evaluation of summation in Sigma notation

IB Year 5 | Grade 11

Evaluate the following summations.

  1. \(\sum_{r=0}^{100} (2-r)(2+r)\)
  2. \(\sum_{r=1}^{n} (3r^2 - 5n)\)

Solution:

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Answer:(a) \(-337\,946\) (b) \(\dfrac{n(2n^2-7n+1)}2\)

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