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Which term of the following sequences: ...

Which term of the following sequences:
(a) `2,2sqrt2,4..........` is 128 ? (b) `sqrt3,3,3sqrt3 ,.............` is 729 ?
(c) `1/3,1/9,1/(27),......." is " 1/19683` ?

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The correct Answer is:
(a) `13^(th)` , (b) `12^(th)` , (c) `9^(th)`
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NCERT BANGLISH-SEQUENCES AND SERIES-EXERCISE 9.3
  1. The 5^(th), 8^(th) and 11^(th) terms of a G.P are p,q and s , respecti...

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  2. The 4^(th) term of a G.P. is square of its second term, and the first...

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  3. Which term of the following sequences: (a) 2,2sqrt2,4.......... is 1...

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  4. For what values of x, the numbers -2/7 , x, -7/2 are in G.P ?

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  5. Find the sum to indicated number of terms in each of the geometric pro...

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  6. Find the sum to indicated number of terms in each of the geometric pro...

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  7. Find the sum to indicated number of terms in each of the geometric pro...

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  8. Find the sum to indicated number of terms in each of the geometric pro...

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

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

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

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

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  13. Given a G.P. with a = 729 and 7^("th") term 64, determine S7 .

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  14. Find a G.P. for which sum of the first two terms is – 4 and the fifth ...

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

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  16. Find the sum to n terms of the sequence, 8, 88, 888, 8888… .

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

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

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

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  20. If the p^("th"), q^("th") and r^("th") terms of a G.P. are a, b and ...

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