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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. \(\sum_{r=3}^{20} r\)
  2. \(\sum_{r=5}^{20} 2^{3r}\)
  3. \(\sum_{r=0}^{10} \frac{1}{(-2)^r}\)

Solution:

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Answer:(a) \(207\) (b) \(\dfrac{2^{15}(2^{48}-1)}7\) (c) \(\dfrac{683}{1024}\)

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