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If three positive numbers a, b, c are in...

If three positive numbers `a, b, c` are in `A.P. and 1/a^2,1/b^2,1/c^2` also in `A.P.` then

A

` a = b = c `

B

`2b = 3a + c`

C

`b^(2) = (ac)/(8)`

D

`2c = 2b + a`

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AAKASH INSTITUTE-SEQUENCES AND SERIES -Assignment (SECTION - A) One option is correct
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  2. If S(n) denote the sum to n terms of an A.P. whose first term is a ...

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  3. If three positive numbers a, b, c are in A.P. and 1/a^2,1/b^2,1/c^2 a...

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  4. The sum of the series a-(a+d)+(a+2d)-(a+3d)+ up to (2n+1) terms is -n ...

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  5. Let Sn denotes the sum of the first of n terms of A.P. and S(2n)=3Sn ...

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  6. Let S(n) denotes the sum to terms of an A.P. whose first term is a . I...

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  7. If the first second and last term of an A.P. are a ,\ b ,\ a n d\ 2a\ ...

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  8. Sum of first n terms of an A.P. whose last term is l and common dif...

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  9. If one geometric mean G and two arithmetic means A(1)andA(2) are inser...

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  10. The fourth term of the G.P. 4, - 2 , 1 , … is

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  11. Find: n th term of the G.P. sqrt(3),1/(sqrt(3)),1/(3sqrt(3)),

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  12. Which term of the progression 18 ,-12 ,8, i s(512)/(729)?

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

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

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

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

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

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

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

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