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the sum of the first n terms of a sequen...

the sum of the first `n` terms of a sequence is `an^(2) + bn`. Then the sum of the next `n` terms is

A

`3an^(2) + 2^(bn)`

B

`2an^(2) + bn`

C

`3an^(2) + bn`

D

`4an^(2) + 2^(bn)`

Text Solution

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The correct Answer is:
C
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NEW JOYTHI PUBLICATION-SEQUENCES AND SERIES -EXERCISE
  1. The 29^(th) term of an A.P is twice its 19^(th) term. Its 9^(th) term ...

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  2. The sum to n terms of a series is (n(n + 1)(n + 2))/3. The 12^(th) ter...

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  3. the sum of the first n terms of a sequence is an^(2) + bn. Then the su...

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  4. In a certain AP, 5times the 5^(th) term is equal to 8 times the 8^(th)...

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  5. The sum of the 9 AM's between 2 & 24 is

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  6. The difference between any two consecutive interior angles of a polygo...

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  7. The number of terms in the sequence 96, 48, 24, 12 ……… 3/16 is

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  8. the sum of the first six terms of a GP is 9 times the sum of the first...

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  9. In a GP of positive succeeding terms terms. The common ratio is

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  10. If 0 lt x lt 1 and y = x - x^(2) + x^(3) - x^(4) + ....... infty then ...

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  11. If the 4^(th) and 7^(th) terms of a GP are 16 and 128 respectively, th...

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  12. The sum of the first two terms of a GP of positive terms is 5/3 and th...

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  13. If A be the AM and G be the GM of two real numbers, the numbers are

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  14. The AM and GM of two positive numbers are 15 and 9 respectively. The n...

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  15. If G is the GM between a and b the 1/(G + a) + 1/(G + b) =

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  16. If |r| gt 1, x = a + a/r + a/r^(2) + .......... infty, y = b - b/r + b...

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  17. If the p^(th) term if an A.P. is q and the q^(th) term of an A.P is p ...

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  18. The sum of the series 1^(2) + 3^(2) + 5^(2) + ......+n'

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  19. The sum of 10 terms of the series sqrt(2) + sqrt(6) + sqrt(18) + .... ...

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  20. If three positive real numbers a, b, c are in A.P and abc = 4, then th...

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