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PSEB-SEQUENCES AND SERIES-EXERCISE
- 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 7th term 64, determine S7.
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- Find a G.P. for which sum of the first two terms is -4 and the fifth t...
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- If the 4th, 10th and 16th terms of a G.P. are x, y and z, respectively...
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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 p^(th), q^(th) and r^(th) terms of a G.P. are a, b and c, respe...
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- If the first and the nth term of a G.P. are a and b. respectively, and...
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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^...
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- Insert two numbers between 3 and 81 so that the resulting sequence is ...
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- Find the value of n so that (a^(n+1)+ b^(n+1))/(a^n+b^n) may be the ge...
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- The sum of two numbers is 6 times their geometric mean, show that numb...
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- If A and G be A.M. and G.M., respectively between two positive numbers...
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- The number of bacteria in a certain culture doubles every hour. If the...
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- What will Rs 500 amounts to in 10 years after its deposit in a bank wh...
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