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If (a + b e^(x))/(a-b e^(x)) = (b + c e^...

If `(a + b e^(x))/(a-b e^(x)) = (b + c e^(x))/(b- c e^(x))= (c + d e^(x))/(c- d e^(x))` then a, b, c, d are in

A

A.P

B

G.P

C

H.P

D

A.G.P

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B
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AAKASH SERIES-SEQUENCE AND SERIES-Practice Exercise
  1. If the sum to infinity of the series 3 + 5x + 7x^(2) + …oo = (44)/(9) ...

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  2. Let p= 3^(1//3) .3^(2//9).3^(3//27) ….oo then p^(1//3)=

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  3. If (a + b e^(x))/(a-b e^(x)) = (b + c e^(x))/(b- c e^(x))= (c + d e^(x...

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  4. Given sum of the first n terms of an A.P is 2n+ 3n^(2). Another A.P is...

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  5. The sum (3)/(1^(2)) + (5)/(1^(2) + 2^(2)) + (7)/(1^(2)+ 2^(2) + 3^(2))...

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  6. Given a sequence of 4 numbers, first three of which are in G.P.,and th...

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  7. The value of 1^(2) + 3^(2) + 5^(2) + …+ 25^(2) is

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  8. Let a(1), a(2), a(3)….. be terms of an A.P. If (a(1) + a(2) + …..a(p))...

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  9. The sum of the series 2^(2) + 2(4^(2)) + 3(6^(2)) + ….upto 10 terms is

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  10. If S= tan^(-1) ((1)/(n^(2) +n+1)) + tan^(-1) ((1)/(n^(2) + 2n+ 3))+ …....

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  11. If a(1), a(2), a(3),…, a(n) are in A.P such that a(4) - a(7) + a(10)= ...

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  12. Given an A.P whose terms are all positive integers. The sum of its nin...

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  13. If the sum (3)/(1^(2)) + (5)/(1^(2) + 2^(2)) + (7)/(1^(2) + 2^(2) + 3^...

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  14. In a geometric progression, if the ratio of the sum of first 5 terms t...

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  15. The sum of the first 20 terms common between the series 3+7 + 11 + 15…...

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  16. Let G be the geometric mean of two positive numbers a and b, and M be ...

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  17. The lest positive integer n such that 1- (2)/(3)- (2)/(3^(2))- ….- (2)...

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  18. The number of terms in an A.P is even the sum of the odd terms in it i...

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  19. Let f(n)= [(1)/(3) + (3n)/(100)]n, where [n] denotes the greatest inte...

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  20. If the sum of first n terms of two A.P's are in the ratio 3n+8: 7n+15,...

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