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Given a sequence of 4 numbers, first thr...

Given a sequence of 4 numbers, first three of which are in G.P.,and the last three are in A.P. with common difference six. If first and last term of the sequence are equal, then the last term is

A

16

B

8

C

4

D

2

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The correct Answer is:
B
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AAKASH SERIES-SEQUENCE AND SERIES-Practice Exercise
  1. Given sum of the first n terms of an A.P is 2n+ 3n^(2). Another A.P is...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. A tree, in each year grows 5cm less than it grew in the previous year....

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  19. If log(10)2, log(10) (2^(x)-1) and log(10) (2^(x) + 3) are three conse...

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  20. If (48)/((2)(3)) + (47)/((3)(4)) + (46)/((4)(5))+ …..(2)/((48) (49)) +...

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