HSC Science (Computer Science) ११ वीं कक्षा - Maharashtra State Board Question Bank Solutions

If the first term of the G.P. is 16 and its sum to infinity is `96/17` find the common ratio.

The sum of an infinite G.P. is 5 and the sum of the squares of these terms is 15 find the G.P.

Find : `sum_("r" = 1)^oo 4(0.5)^"r"`

Find : `sum_("r" = 1)^oo (-1/3)^"r"`

Find `sum_("r" = 0)^oo (-8)(-1/2)^"r"` 

Find : `sum_("n" = 1)^oo 0.4^"n"`

The midpoints of the sides of a square of side 1 are joined to form a new square. This procedure is repeated indefinitely. Find the sum of the areas of all the squares

The midpoints of the sides of a square of side 1 are joined to form a new square. This procedure is repeated indefinitely. Find the sum of the perimeters of all the squares

A ball is dropped from a height of 10m. It bounces to a height of 6m, then 3.6m and so on. Find the total distance travelled by the ball

Find GM of two positive numbers whose A.M. and H.M. are 75 and 48

Insert two numbers between 1 and −27 so that the resulting sequence is a G.P.

If the A.M. of two numbers exceeds their G.M. by 2 and their H.M. by `18/5`, find the numbers.

Select the correct answer from the given alternative.

The common ratio for the G.P. 0.12, 0.24, 0.48, is –

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The tenth term of the geometric sequence `1/4, (-1)/2, 1, -2,` ... is –

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If for a G.P. `"t"_6/"t"_3 = 1458/54` then r = ?

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Which term of the geometric progression 1, 2, 4, 8, ... is 2048

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If common ratio of the G.P is 5, 5^th term is 1875, the first term is -

The sum of 3 terms of a G.P. is `21/4` and their product is 1 then the common ratio is ______.

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Sum to infinity of a G.P. 5, `-5/2, 5/4, -5/8, 5/16,...` is –

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Which of the following is not true, where A, G, H are the AM, GM, HM of a and b respectively. (a, b > 0)