How many terms of G.P. 3, 3^2, 3^3, … a...

How many terms of G.P. `3, 3^2, 3^3,` … are needed to give the sum 120?

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NCERT BANGLISH-SEQUENCES AND SERIES-EXERCISE 9.3

Evaluate sum(k=1)^11(2+3^k)
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The sum of first three terms of a G.P. is 39/10 and their product is 1...
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How many terms of G.P. 3, 3^2, 3^3, … are needed to give the sum 120?
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The sum of first three terms of a G.P. is 16 and the sum of the next t...
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Given a G.P. with a = 729 and 7^("th") term 64, determine S7 .
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Find the sum to n terms of the sequence, 8, 88, 888, 8888… .
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Find the sum of the products of the corresponding terms of the sequenc...
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Show that the products of the corresponding terms of the sequences a, ...
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Find four numbers forming a geometric progression in which the third t...
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If the first and the n^("th") term of a G.P. are a and b, respectivel...
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Show that the ratio of the sum of first n terms of a G.P. to the sum o...
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If a, b, c and d are in G.P. show that (a^2+b^2+c^2)(b^2+c^2+d^2) = (a...
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If A and G be A.M. and G.M., respectively between two positive numbers...
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