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Examples of summation expressed in Sigma notation

Examples of summation expressed in Sigma notation

IB Year 5 | Grade 11

Write the following in sigma notation.

  1. \(3^{2} + 3^{3} + 3^{4} + 3^{5}\)
  2. \(\frac{1}{5} + \frac{1}{25} + \frac{1}{125} + \frac{1}{625}\)
  3. \(2 \cdot 7 + 3 \cdot 8 + 4 \cdot 9 + 5 \cdot 10 + \cdots\) up to \(n\) terms

Solution:

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Answer:(a) \(\sum_{r=2}^{5}3^r\) (b) \(\sum_{r=1}^{4}\dfrac1{5^r}\) (c) \(\sum_{r=1}^{n}(r+1)(r+6)\)

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