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

If `a_(1), a_(2),….a_(n)` are in H.P then
`(a_(1))/(a_(2) + a_(3) + …+ a_(n)), (a_(2))/(a_(1) + a_(3) + …+ a_(n)), (a_(3))/(a_(1) + a_(2) + a_(4)…+ a_(n)) ….(a_(n))/(a_(1) + a_(2) + a_(3) + ….a_(n-1))`

A

A.P

B

G.P

C

H.P

D

A.G.P

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-SEQUENCE AND SERIES-Practice Exercise
  1. If mth terms of H.P is n and nth term is m, then (m + n)th term is

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  2. If a,b,c are in A.P and b,c,a are in H.P then a^(4)=

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

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  4. If a, b, c, d are in H.P then ab + bc + cd=

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  5. If 3 and 2 are A.M and G.M of two number then H.M of the numbers is

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  6. If the harmonic mean between a and b is (a^(n + 1) + b^(n - 1))/(a^(n)...

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  7. log(3)^(2), log(6)^(2), log(120^(2) are in

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  8. Let a(1), a(2) ….a(10) be A.P and h(1), h(2)…h(10) be in H.P. If a(1)=...

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  9. If p th term of a H.P is qr and q^(th) term is r p then r^(th) term is

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  10. If the sum of the series 1+ (3)/(x) + (9)/(x^(2))+ (27)/(x^(3)) + …oo ...

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  11. If 3 + (3 + d) (1)/(4) + (3+ 2d) (1)/(4^(2)) + …oo= 8 then d=

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  12. If 1+ 2x + 3x^(2) + 4x^(3) + …oo= (9)/(4) (|x| lt 1) then x=

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  13. If the sum to infinity of the series 3 + 5x + 7x^(2) + …oo = (44)/(9) ...

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  14. Let p= 3^(1//3) .3^(2//9).3^(3//27) ….oo then p^(1//3)=

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  15. If (a + b e^(x))/(a-b e^(x)) = (b + c e^(x))/(b- c e^(x))= (c + d e^(x...

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  16. Given sum of the first n terms of an A.P is 2n+ 3n^(2). Another A.P is...

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  17. The sum (3)/(1^(2)) + (5)/(1^(2) + 2^(2)) + (7)/(1^(2)+ 2^(2) + 3^(2))...

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  18. Given a sequence of 4 numbers, first three of which are in G.P.,and th...

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  19. The value of 1^(2) + 3^(2) + 5^(2) + …+ 25^(2) is

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  20. Let a(1), a(2), a(3)….. be terms of an A.P. If (a(1) + a(2) + …..a(p))...

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