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Given sum of the first n terms of an A.P...

Given sum of the first n terms of an A.P is `2n+ 3n^(2)`. Another A.P is formed with the same first term and is double the common difference, the sum of n terms of the new A.P. is

A

`n+4n^(2)`

B

`6n^(2)-n`

C

`n^(2)+ 4n`

D

`3n+ 2n^(2)`

Text Solution

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

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

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

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

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

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

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

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

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

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

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

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