If -r-1n tr-k-1n-j-1k-i-1j2- then t5 is

Name: JEE- Grade 11- Mathematics- Sequence and Series - Session 06- D02
Uploaded: 2022-07-04T10:36:42+05:30
Description: ∑_r=1^n t_r=∑_k=1^n∑_j=1^k∑_i=1^j(2) =∑_k=1^n∑_j=1^k2j =∑_k=1^nk(1+k) ⇒ t_r=r(1+r) ∴ t_5=30 ...

∑_r=1^n t_r=∑_k=1^n∑_j=1^k∑_i=1^j(2) =∑_k=1^n∑_j=1^k2j =∑_k=1^nk(1+k) ⇒ t_r=r(1+r) ∴ t_5=30 ...

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Byju's Answer

Standard XIII

Mathematics

Summation by Sigma Method

If ∑r=1n tr=∑...

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

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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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Similar questions

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Summation by Sigma Method

Standard XIII Mathematics

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If n∑r=1tr=n∑k=1k∑j=1j∑i=1(2), then t5 is

The correct option is B 30n∑r=1tr=n∑k=1k∑j=1j∑i=1(2)=n∑k=1k∑j=12j=n∑k=1k(1+k)⇒tr=r(1+r)∴t5=30

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

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