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If x^(18)=y^(21)=z^(28), then 3,3 log(y)...

If `x^(18)=y^(21)=z^(28)`, then 3,3 `log_(y)x,3log_(z)y,7log_(x)z` are in

A

A.P.

B

G.P.

C

H.P.

D

A.G.P.

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AAKASH INSTITUTE-SEQUENCES AND SERIES -Assignment (SECTION - B) One option is correct
  1. The sum of n terms of the series 1^2+2.2^2+3^2+2.4^2+5^2+2.6^2+.... is...

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  2. If x,y, z and w are non-zero real numbers and x^(2) + 5y^(2) + 5z^...

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  3. If x^(18)=y^(21)=z^(28), then 3,3 log(y)x,3log(z)y,7log(x)z are in

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  4. The coefficient of x^(101) in the expansion of (1 - x) (1- 2x) (1 ...

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  5. If a, b, c, are in A.P. ., p , q,r, are in H.P. and ap ,bq, cr are i...

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  6. Let C be a circle with centre P(0) and AB be a diameter of C . supp...

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  7. If 1,log9(3^(1-x)+2), log3(4*3^x-1) are in A.P then x equals to

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  8. If b-c, 2b-x and b-a are in H.P., then a-(x/2), b-(x/2) and c-(x/2) ar...

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  9. Let log(2) 3 = alpha , then log(64) 729 is

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  10. sum(n=1)^(oo) (""^(n)C(0) + ""^(n)C(1) + .......""^(n)C(n))/(n!) is eq...

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  11. sum(n=1)^(oo) ((Inx)^(n))/(n!) is equal to

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  12. The sum of sum(n=1)^(oo) ""^(n)C(2) . (3^(n-2))/(n!) equal

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  13. The coefficient of x^(4) "in" (1 - 3x + x^(2))/(e^(x)) equals

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  14. The sum of the series (2)/(1!) + (4)/(3!) + (6)/(5!) + ……. "to" oo ...

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  15. the value of 2/(1!)+ (2+4)/(2!) + (2+4+6)/(3!) +.................. ...

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  16. ((1 )/(2!) + (1)/(4!) + (1)/(6!) + ......)/((1)/(1!) + (1)/(3!) + (1)/...

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  17. The sum of the series (a + b ) (a - b) + (a + b)(a-b)(a^(2) + b^(2)...

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  18. The sum of the series ((a-b)/(a))+1/2((a-b)/(x))^(2)+1/3((a-b)/(a))^...

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  19. The sum of the series 1/1.2-1/2.3+1/3.4-1/4.5+ ... is

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  20. sum(n=0)^(oo) (n^(2) + n + 1)/((n +1)!) is equal to

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