Elementary combinatorics: Summation and product symbol
Properties of the summantion symbol
Suppose that \(a_1=2\) and \(\displaystyle \sum_{j=2}^{5}a_j=15\). Use this equalities and the properties of the summation sign to calculate the sum below.
| \(\displaystyle\sum_{j=2}^{5}(a_j+3)={}\) |
| \(\displaystyle\sum_{k=1}^{5}\frac{a_j}{2}={}\) |
| \(\displaystyle\sum_{k=0}^{4}a_{k+1}={}\) |
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