Topics
Sequences and Series
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India
Class XI

Geometric Series

Lesson
Practice

Interactive practice questions

Consider the series $5+10+20$5+10+20 ...

Find the sum of the first $12$12 terms.

Easy
3min

Find the sum of the first $5$5 terms of the geometric sequence defined by $a=2.187$a=2.187 and $r=1.134$r=1.134.

Give your answer correct to two decimal places.

Easy
2min

Find the sum of the first $5$5 terms of the geometric sequence defined by $a=-4.186$a=−4.186 and $r=-2.848$r=−2.848.

Give your answer correct to two decimal places.

Easy
2min

Consider the geometric series $64+16+4$64+16+4$\ldots$…

Find the sum of the first $7$7 terms.

Easy
2min
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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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