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CBSE Notes 2011-2012 » XI-Maths

Infinite Series

One side of an equilateral triangle is 18 cm. The mid points of its sides are joined to form another...

Short answer question

One side of an equilateral triangle is 18 cm. The mid points of its sides are joined to form another triangle whose mid-points are joined again to form another triangle. This process is repeated infinitely. Find the sum of the perimeters of all the triangles.

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

Short answer question

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.

Short answer question

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...

Short answer question

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...

Short answer question

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.

Short answer question

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

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