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The numbers 3^(2sin2alpha-1),14and3^(4-2...

The numbers `3^(2sin2alpha-1),14and3^(4-2sin2alpha)` form first three terms of A.P., its fifth term is

A

25

B

40

C

53

D

`-12`

Text Solution

Verified by Experts

The correct Answer is:
C
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MCGROW HILL PUBLICATION-PROGRESSIONS-EXERCISES LEVEL-1 (Single Correct Answer Type Questions)
  1. The sum of intergers from 1 to 100 that are divisible by 2 or 5 is -

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  2. The common difference d of the A.P. in which T(7) = 9 and T(1)T(2)T(7)...

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  3. The numbers 3^(2sin2alpha-1),14and3^(4-2sin2alpha) form first three te...

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  4. Sum of first 'n' terms of the series 3/2+5/4+9/8+17/16+...

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  5. 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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  6. Find the sum series: tan^-1 (1/3)+tan^-1 (1/7)+tan^-1(1/13)+…to oo

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  7. FInd the sum of infinite terms of the series 1/(1.2.3)+1/(2.3.4)+1/(3...

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  8. If n!, 3n! and (n-1)! are in G.P then n!, 5n! and (n+1)! are in

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  9. If S(n)=81+54+36+24+.. upto n terms, then value of x=(S(n)-4S(n-1)+6S(...

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  10. The sum of first 'n' terms of the series 1^2+(1)(2)+3^2+(3)(4)+5^2+(5)...

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  11. If L = underset( n rarr oo)lim (1+3^(-1))(1+3^(-2))+(1+3^(-4))+(1+3^(-...

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  12. If a1,a2,a3,.......an, are 'n', distinct odd natural numbers, not divi...

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  13. Coefficient of x^(99) in the expansion of (x-1) (x-3)(x-5)..(x-1999) i...

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  14. Find the sum to n terms of the series 1 + (1 + 2) + (1 + 2 + 3) + .......

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  15. If x= overset(oo)underset(n =0)Sigma a^(n),y= overset(oo)underset(n=0)...

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  16. If the sum of an infinite decreasing G.P. is 3 and sum of the cubes of...

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  17. The sum of the series S= overset(n)underset(r=1)Sigma log ((a^(r+1))/(...

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  18. If the fifth term of a G.P. is 2, then write the product of its 9 t...

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  19. If s is the sum to infnity of a G.P, whose first term is a, then the s...

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  20. For a sequence lt a(n) gt, a(1) =5 and (a(r+1))/(a(r))=(1)/(2) AA r, t...

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