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Sum of n terms of the serise sqrt(2) + s...

Sum of `n` terms of the serise `sqrt(2) + sqrt(8) + sqrt(18) + sqrt(32) + ....` is

A

`(n(n + 1))/2`

B

`2n(n + 1)`

C

`(n(n + 1))/sqrt(2)`

D

1

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The correct Answer is:
C
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NEW JOYTHI PUBLICATION-SEQUENCES AND SERIES -EXERCISE
  1. cos x = b for what b do the roots of the equation form an A.P?

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  2. Sum of all terms in in G.P is 5 times the sum of odd terms. The common...

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  3. Sum of n terms of the serise sqrt(2) + sqrt(8) + sqrt(18) + sqrt(32) +...

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  4. The sum of series 1 + 2x + 3x^(2) + 4x^(3) + ...... up to infinity whe...

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  5. If log(3)^(2),log(3)(2^(x) - 5) and log(2^(x) - 7/2)are in A.P then th...

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  6. If the sum of first n positive integers is 1/5 times the sum of their ...

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  7. The second term of an A.P is (x - y) and fifth term is (x + y), then t...

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  8. Three numbers are in G.P. if we double the middle term, we get an A.P....

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  9. Three non zero numbers a, b, c are in A.P. Increasing a by 1 or increa...

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  10. If x gt 0 then the sum of the series e^(-x) - e^(-2x) + e^(-3x) .........

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  11. The sum of the series 0.4 + 0.004 + 0.00004 + infty is

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  12. If (1.05)^(50) = 11.658 then sum (n = 1) ^(49) (1.05)^(n) equals

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  13. The product of n positive numbers is 1, then their sum is a positive i...

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  14. If x, y, z are in A.P then e^(-x),e^(-y)and e^(-z) are

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  15. If the sum of the first n terms of a series be 5n^(2) + 2n, then its s...

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  16. If the sum of the first n terms of a series be 5n^(2) + 2n, then its s...

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  17. If A.M and G.M of the roots of a quadratic equation in x are p and q r...

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  18. If the 10^(th)term of G.P is 9 and 4^(th)term is 4 then its 7^(th)term...

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  19. If x gt 1, y gt 1, z gt 1 are in G.P then 1/(1 + log x),1/(1 + log y),...

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  20. Suppose a, b, c are in a.P and a^(2), b^(2), c^(2) are in G.P. If a lt...

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