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If a(1), a(2) …… a(n) are in A.P then (s...

If `a_(1), a_(2) …… a_(n)` are in A.P then `(sqrt(a_(1)) + sqrt(a_(n)))/( sqrt(a_(1)) + sqrt(a_(2))) + (sqrt(a_(1)) + sqrt(a_(n)))/(sqrt(a_(2)) + sqrt(a_(3))) + ….. + (sqrt( a_(1)) + sqrt(a_(n)))/( sqrt(a_(n - 1)) + sqrt(a_(n))) `=

A

n

B

n + 1

C

n - 1

D

0

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-SEQUENCES AND SERIES -EXERCISE
  1. If 100 times the 100^(th) term of an A.P with non zero common differen...

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  2. If the sum of m terms of an A.P, is equal to the sum of n terms of the...

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  3. If a(1), a(2) …… a(n) are in A.P then (sqrt(a(1)) + sqrt(a(n)))/( sqrt...

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  4. If the ratio of sum of n terms in two A.P' s is 2n : n + 1, then the ...

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  5. The sum of n terms in two A.P's are in the ratio 3n + 1 : n + 4 , then...

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  6. If S(n) danotes the sum of n terms of n terms of an A.P. then S(n + 3)...

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  7. The first term of an A.P of consecutive integers is p^(2) + 1 . The su...

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  8. The numbers 3^(2 sin 20 -1 ) , 14, 3^(4 - 2 sin 20) form first three ...

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  9. Arithmetic mean of 1/2 & 1/3 is

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  10. One of the four A,M's between 3, 23 is

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  11. Sum of 4 Arithmetic means between 3 and 23 is

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  12. Sum of 14 A.M's between 5 and 8 is

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  13. If n arithmetic means are inserted between 2 and 38 , then the sum of ...

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  14. If 1, log(y) x, log(z) y , - 15 log(x) z are in A.P ., then

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  15. If the common difference of an A.P is 1 and 6th term is (4 cos^(2) alp...

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  16. If S(1), S(2),S(3), are the sums of first n natural numbers their squ...

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  17. Sum of n terms of (1)/(1.2) + (1)/(2.3) + (1)/(3.4) + …. is

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  18. Sum of the series S = 1 + (1)/(2)(1 + 2) + (1)/(3) ( 1 + 2 + 3 ) + (1)...

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  19. If 1^(2)+2^(2)+3^(2)+…..+2003^(2)=(2003)(4007)(334)and(1)(2003)+(2)(20...

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  20. The value of the expression ( 1 + (1)/(omega)) ( 1 + (1)/(omega^(2)...

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