HSC Arts (English Medium) 11th Standard - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

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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)

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In a G.P., the fourth term is 48 and the eighth term is 768. Find the tenth term

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Find the sum of the first 5 terms of the G.P. whose first term is 1 and common ratio is `2/3`

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For a G.P. a = `4/3` and t₇ = `243/1024`, find the value of r

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For a sequence , if t_n = `(5^("n" - 2))/(7^("n" - 3))`, verify whether the sequence is a G.P. If it is a G.P., find its first term and the common ratio.

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Find three numbers in G.P. such that their sum is 35 and their product is 1000

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Find five numbers in G.P. such that their product is 243 and sum of second and fourth number is 10.

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For a sequence S_n = 4(7ⁿ – 1) verify that the sequence is a G.P.

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Find the n^th term of the sequence 0.6, 0.66, 0.666, 0.6666, ...

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For a G.P. if t₂ = 7, t₄ = 1575 find a

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If for a G.P. t₃ = `1/3`, t₆ = `1/81` find r

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Find `sum_("r" = 1)^"n" (2/3)^"r"`

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Find k so that k – 1, k, k + 2 are consecutive terms of a G.P.

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If for a G.P. first term is (27)² and seventh term is (8)², find S⁸