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Summation by Sigma Method

∑ r =1 n t r ...

Question

If $n \sum r = 1 t_{r} = n \sum k = 1 k \sum j = 1 j \sum i = 1 (2)$ , then $t_{5}$ is

A

20

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B

30

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C

42

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D

24

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Solution

The correct option is B $30$
$n \sum r = 1 t_{r} = n \sum k = 1 k \sum j = 1 j \sum i = 1 (2) = n \sum k = 1 k \sum j = 1 2 j = n \sum k = 1 k (1 + k) \Rightarrow t_{r} = r (1 + r) ∴ t_{5} = 30$

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Summation by Sigma Method

Standard XII Mathematics

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