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If (1 + 3 + 5 + …. +P ) + (1 + 3 + 5 + …...

If (1 + 3 + 5 + …. +P ) + (1 + 3 + 5 + …. Q) = (1 + 3 + 5 + … r) where each set of parentheses contains the sum of consecutive odd integers as shown, the smallest possible value of p + q + r, is

A

12

B

21

C

45

D

54

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-SEQUENCES AND SERIES -EXERCISE
  1. The least value of n for which 1 + 2 + 2^(2) + …… to n terms is great...

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

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

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

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  5. 7 + 77 + 777 + …. N terms =

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  6. 6 + 66 + 666 + ….n terms =

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

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  8. 7 + 77 + 777 + …. N terms =

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

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

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

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  12. (666 …. N digits)^(2) + (888 …. N digits ) =

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

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

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

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

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

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  18. Let S(1),S(2),S(3), …. Are squares such that for each nge1, The lengt...

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  19. In G.P (p + q)th term is m, (p -q)th term is n, then pth terms is

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  20. If 2pth term of a G.P is q^(2) and 2qth term is P^(2) , then (p + q)th...

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