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(a^(n+1)+b^(n+1))/(a^n+b^n) is AM/GM/HM,...

`(a^(n+1)+b^(n+1))/(a^n+b^n)` is AM/GM/HM, between a and b if n is equal to respectively

A

-1,-1/2,0

B

0,1/2,-1/2

C

0,-1/2,-1

D

none of these

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PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
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  2. If between 1 and 1/31 there are n H.M's and ratio of 7th and (n-1)^th ...

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  3. (a^(n+1)+b^(n+1))/(a^n+b^n) is AM/GM/HM, between a and b if n is equal...

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  4. Sum of infinite terms of series 3+5. 1/4+7. 1/4^2+..... is

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  5. The value of x for which 1/(1+sqrtx),1/(1-x),1/(1-sqrtx) are in AP li...

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  6. If the non-zero numbers a,b,c are in AP and tan^-1a,tan^-1b,tan^-1c ar...

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  7. If a,b,c,d are distinct positive numbers in AP, then

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  8. If sum(r=1)^nr(r+1)(2r+3)=an^4+bn^3+cn^2+dn+e, then

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  9. The pth term Tp of HP is q(p+q) and qth term Tq is p(p+q) when pgt1,qg...

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  10. For a positive integer n let a(n)=1+1/2+1/3+1/4+.......+1/((2^n)-1) th...

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  11. A geometric progression of real number is such that the sum of its fir...

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  12. If the first and the (2n-1)^th term of an A.P,G.P anf H.P are equal an...

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  13. If a,b,c be in H.P prove that (1/a+1/b-1/c)(1/b+1/c-1/a)=4/(ac)-3/b^2

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  14. Which one of the following statements is correct ?

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  15. Let sinalpha,cosalpha, be the roots of the equation x^2-bx+c=0. Then w...

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  16. Which one of the following statements is correct ?

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  17. The sum V1+V2+.....Vn is

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  18. Tr is always

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  19. Which one of the following statements is correct ?

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  20. Match List-I with List-II

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