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SUMMATION FORMULA - Practice Questions & MCQ
Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main
Quick Facts
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Summation by Sigma Operator is considered one the most difficult concept.
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16 Questions around this concept.
Solve by difficulty
Let f(x) be a function such that for all
if
and
then the value of n is.
The sum of the first 20 terms of the series 5 + 11 + 19 + 29 + 41 + ….. is:
If . to
terms, then
is equal to
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The value of $\lim _{n \rightarrow \infty} \sum_{k=1}^n \frac{n^3}{\left(n^2+k^2\right)\left(n^2+3 k^2\right)}$ is:
The sum of the series $\frac{1}{1-3 \cdot 1^2+1^4}+\frac{2}{1-3 \cdot 2^2+2^4}+\frac{3}{1-3 \cdot 3^2+3^4}+\ldots$ up to 10 -terms is
Concepts Covered - 0
Summation by Sigma Operator
Summation by Sigma(Σ) Operator
The summation of each term of a sequence or a series can be represented in a compact form, called summation or sigma notation. This summation is represented by the Greek capital letter, Sigma (Σ).
For example,
Properties of Sigma Notation
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