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If every even term of a series is a times the term before it and every odd term is c times the before it, the first term being unity, then the sum to 2n terms is

A

`((1-c^(n))(1 - a^(n))/(1-ac)`

B

`((1+a)(1 - c^(n)a^(n)))/(1-ac)`

C

`((1 + c^(n))(1 + a^(n)))/(1 - ac)`

D

`((1 + a)(1 + c^(n)a^(n)))/(1 + ac)`

Text Solution

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The correct Answer is:
B
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DISHA PUBLICATION-SEQUENCES AND SERIES -Exercise -2 : Concept Applicator
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  2. The minimum value of (x^4+y^4+z^2)/(x y z) for positive real numbers x...

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  3. If every even term of a series is a times the term before it and every...

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  4. If y=3^(x-1)+3^(-x-1) (where, x is real), then the leastvalue of y is

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  5. Let a1, a2, a3, ...an be an AP. Prove that: 1 / (a1 an) + 1 / (a2 a(n-...

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  6. Concentric circles of radii 1,2,3,. . . . ,100 c m are drawn. The inte...

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  7. If log(e)5, log(e)(5^(x) -1) and log(e)(5^(x)-(11)/(5)) are in A.P the...

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  8. If a ,b ,c are the sides of a triangle, then the minimum value of a/(b...

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  9. The value of 1/(2!) +2/(3!) +...+999/(1000!) is equal to

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  10. If a,b,c are in H.P.then which one of the following is true

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  11. If a,b,c and the d are in H.P then find the vlaue of (a^(-2)-d^(-2))/(...

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  12. The odd value of n for which 704 + 1/2 (704) + 1/4 (704) + ... upto n ...

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  13. If (1-p)(1+3x+9x^2+27 x^3+81 x^4+243 x^5)=1-p^6p!=1 , then the value o...

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  14. The harmonic mean of (a)/(1 - ab) and (a)/(1 + ab) is :

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  15. The sum of the infinite series(2^(2))/(2!) + (2^(4))/(4!) + (2^(6))/(6...

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  16. If a,b,c re in H.Pthen which one of the following is true

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  17. ABC is a right angled triangle in which /B=90^(@) and BC=a. If n point...

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  18. If S(1), S(2), S(3),...,S(n) are the sums of infinite geometric series...

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  19. If a is the A.M. of ba n dc and the two geometric mean are G1a n dG2, ...

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  20. If a ,ba n dc are in A.P., and pa n dp ' are respectively, A.M. and G....

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