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India
Class XI

Infinite sum for GP's

Interactive practice questions

What condition must be satisfied by an infinite geometric series in order for its sum to exist?

the absolute value of the common ratio must be less than $1$1

A

the common ratio must be negative

B

the common ratio must be less than $1$1

C

the common ratio must be greater than $1$1

D

the absolute value of the common ratio must be greater than $1$1

E
Easy
< 1min

Consider the infinite geometric sequence $11$11, $22$22, $44$44, $88$88, $\text{. . .}$. . .

Easy
< 1min

Consider the infinite geometric sequence $3$3, $-12$12, $48$48, $-192$192, $\text{. . .}$. . .

Easy
< 1min

Consider the infinite geometric sequence $-40$40, $-20$20, $-10$10, $-5$5, $\text{. . .}$. . .

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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