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CBSE Notes 2011-2012 » XI-Maths

# Infinite Series

## In an infinite G.P. each term is equal to twice the sum of all the terms which follow it and the sum...

In an infinite G.P. each term is equal to twice the sum of all the terms which follow it and the sum of

## The sum of an infinite G.P. is 6. If its first term is 2, find its common ratio.

The sum of an infinite G.P. is 6. If its first term is 2, find its common ratio.

## One side of a square is 10 cm. The mid-points of its sides are joined to form another square whose m...

One side of a square is 10 cm. The mid-points of its sides are joined to form another square whose mid-points are again joined to form one more square and this process is continued infinitely. Find the sum of the areas of all the squares so formed.

## Find an infinite G.P. whose first term is 1 and each term is the sum of all the terms which follow i...

Find an infinite G.P. whose first term is 1 and each term is the sum of all the terms which follow it.

## The sum of an infinite G.P. is 15 and the sum of the squares of these terms is 45. Find the G.P. 