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India
Class XI

Notation for a Series

Interactive practice questions

The sum of the terms of a sequence is:

always divergent

A

a series

B

always finite

C
Easy
< 1min

Write the following series using sigma notation.

$4+8+12+16+20+\text{. . .}$4+8+12+16+20+. . .

Easy
1min

Consider the series $-3+9-27+81-243+729$3+927+81243+729.

Easy
3min

Consider the series:

$\frac{1}{1^3}+\frac{1}{2^3}+\frac{1}{3^3}+\frac{1}{4^3}+\frac{1}{5^3}$113+123+133+143+153

Rewrite the series using sigma notation in the form $\sum_{k=\editable{}}^{\editable{}}\editable{}$k=.

Easy
1min
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Outcomes

11.A.SS.1

Sequence and Series. Arithmetic progression (A. P.), arithmetic mean (A.M.). Geometric progression (G.P.), general term of a G. P., sum of n terms of a G.P., geometric mean (G.M.), relation between A.M. and G.M. Sum to n terms of the special series, involving n, n^2, n^3 (see syllabus)

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