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(1)/(2) + (1)/(4) + (1)/(8) + (1)/(16) +...

`(1)/(2) + (1)/(4) + (1)/(8) + (1)/(16) + ….. = x , (1)/(3) + (1)/(9) + (1)/(27) + (1)/(81) + … = `y, then

A

x = y

B

2x + 4y = 4

C

`x^(2) =y `

D

x + y = 0

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-SEQUENCES AND SERIES -EXERCISE
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  2. The coefficient of x in (x^2 +(c )/(x))^5 is

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  3. (1)/(2) + (1)/(4) + (1)/(8) + (1)/(16) + ….. = x , (1)/(3) + (1)/(9) +...

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

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

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

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

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

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

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  10. 7 + 77 + 777 + …. N terms =

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  11. 6 + 66 + 666 + ….n terms =

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

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  13. 7 + 77 + 777 + …. N terms =

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

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

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

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  17. (666 …. N digits)^(2) + (888 …. N digits ) =

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

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

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

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