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The sum of an infinite G.P. is 2. If the...

The sum of an infinite G.P. is 2. If the sum of their squares is 4/3, then the third term is

A

`1//2`

B

1

C

1/4

D

10

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-SEQUENCES AND SERIES -EXERCISE
  1. (1)/(2) + (1)/(4) + (1)/(8) + (1)/(16) + ….. = x , (1)/(3) + (1)/(9) +...

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  2. the sum to infinity of (1)/(7) + (2)/(7^(2)) + (1)/(7^(3)) + (2)/(7^(4...

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  3. The sum of an infinite G.P. is 2. If the sum of their squares is 4/3, ...

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  4. The least value of n for which 1 + 2 + 2^(2) + …… to n terms is great...

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  5. If x gt 0, and log(2) + log(2)(sqrt(x)) + log(2) (4sqrt(x)) + log(2) (...

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  6. If (1 + 3 + 5 + …. +P ) + (1 + 3 + 5 + …. Q) = (1 + 3 + 5 + … r) where...

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  7. The greatest value on n so that 1 + 5 +5^(2) + 5^(3) + …. N terms is ...

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  8. 7 + 77 + 777 + …. N terms =

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  9. 6 + 66 + 666 + ….n terms =

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  10. The sum to n terms of the series .5 + .55 + .555 + ….. Is

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  11. 7 + 77 + 777 + …. N terms =

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  12. The sum of first 20 terms of the sequence 0.7, 0.77, 0.777,….. Is

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  13. The value of n for which 704 + (1)/(2) (704) + (1)/(4)(704) + ….. Upto...

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  14. The positive integer n for which 2 . 2^(2) + 3 . 2^(3) + 4 . 2^(4) + ....

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  15. (666 …. N digits)^(2) + (888 …. N digits ) =

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  16. If the sum of three numbers in a G.P is 26 and the sum of products two...

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  17. If 0 lt phi lt pi//2 , and x = sum(n = 0)^(infty) cos^(2n) phi, y = su...

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  18. If the sum of three numbers in G.P is 21 and their product is 216, the...

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  19. If the sum of three numbers in G.P is 7/64 and the product of the extr...

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  20. If pth, qth, rth terms of an A.P are a,b,c then a(q - r ) + b(r - p ) ...

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