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Evaluate sum(k=1)^11(2+ 3^k)....

Evaluate `sum_(k=1)^11(2+ 3^k)`.

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PSEB-SEQUENCES AND SERIES-EXERCISE
  1. Find the sum to indicated number of terms of the geometric progression...

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  2. Find the sum to indicated number of terms of the geometric progression...

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  3. Evaluate sum(k=1)^11(2+ 3^k).

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  4. The sum of first three terms of a G.P. is 39/10 and their product is 1...

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

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  6. The sum of first three terms of a G.P. is 16 and the sum of the next t...

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  7. Given a G.P. with a= 729 and 7th term 64, determine S7.

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  8. Find a G.P. for which sum of the first two terms is -4 and the fifth t...

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  9. If the 4th, 10th and 16th terms of a G.P. are x, y and z, respectively...

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  10. Find the sum of the products of the corresponding terms of the sequenc...

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  11. Show that the products of the corresponding terms of the sequences a, ...

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  12. Find four numbers forming a geometric progression in which the third t...

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  13. If the p^(th), q^(th) and r^(th) terms of a G.P. are a, b and c, respe...

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  14. If the first and the nth term of a G.P. are a and b. respectively, and...

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  15. Show that the ratio of the sum of first n terms of a G.P. to the sum o...

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  16. 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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  17. Insert two numbers between 3 and 81 so that the resulting sequence is ...

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  18. 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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  19. The sum of two numbers is 6 times their geometric mean, show that numb...

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  20. If A and G be A.M. and G.M., respectively between two positive numbers...

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