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"If " (a^(n)+b^(n))/(a^(n-1)+b^(n-1))" i...

`"If " (a^(n)+b^(n))/(a^(n-1)+b^(n-1))"` is the A.M. between" a and b, then find the value of n.

A

0

B

`-1`

C

1

D

2

Text Solution

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The correct Answer is:
3
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AAKASH INSTITUTE-SEQUENCES AND SERIES -Assignment (SECTION - A) One option is correct
  1. Which term of the progression 18 ,-12 ,8, i s(512)/(729)?

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  2. The third term of a G.P. is 3. Find the product of its first five term...

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  3. "If " (a^(n)+b^(n))/(a^(n-1)+b^(n-1))" is the A.M. between" a and b, t...

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  4. If (2p)th term of a G.P is q^2 and (2q)th term is p^2 then (p+q)th ter...

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  5. Three number whose product it 512 are in G.P. If 8 is added to the f...

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  6. If first and eightth terms of a G.P. are x^(-4) and x^(52) and it...

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  7. Find the sum of first n term of a G.P.1+(1)/(2)+(1)/(4)+(1)/(8)+...

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  8. The n^(th) term of a GP is 128 and the sum of its n terms is 255. If i...

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  9. How many terms of the series 1+3+9+ .. .........sum to 364?

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  10. If the (p+q)^(th) term of a G.P. is a and (p-q)^(th) term is b, determ...

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  11. If the sum of three numbers in a GP. is 26 and the sum of products tak...

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  12. If a,b,c are in G.P then (b-a)/(b-c)+(b+a)/(b+c)=

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  13. If x , 2x+2,and 3x+3 are the first three terms of a G.P., then the fou...

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  14. If G(1) . G(2) , g(3) are three geometric means between two positi...

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  15. The fifth term of a G.P. is 32 and common ratio is 2 , then the su...

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  16. If the sum of first three numbers in G.P. is 21 and their product i...

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  17. If x, y z are the three geometric means between 6, 54, then z =

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  18. If a,b, and c are in A.P and b-a,c-b and a are in G.P then a:b:c is

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  19. Three positive numbers form an increasing GP. If the middle terms in t...

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  20. If a, b, c form a G.P. with common ratio r such that 0 < r < 1, and if...

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