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The sum of the series (2)^2+2(4)^2+3(6)^...

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

A

11300

B

11200

C

12100

D

12300

Text Solution

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The correct Answer is:
C
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MCGROW HILL PUBLICATION-PROGRESSIONS-Questions from Previous Years. AIEEE/JEE Main Papers
  1. The value of 1^2+3^2+5^2+...+25^2 is (A) 1728 (B) 1456 (C) 2925 ...

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  2. Let a1,a2,a3………. be term os an A.P. if (a1+a2+….+ap)/(a1+a2+………+aq)=p^...

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

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  4. If S= tan^-1 (1/(n^2+n+1))+tan^-1 (1/(n^2+3n+3))+…+tan^-1 (1/(1+(n+19)...

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  5. If a1,a2,a3,. . . ,an. . . are in A.P. such that a4−a7+a10=m, then sum...

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  6. Three positive numbers form an increasing GP. If the middle term in th...

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  7. If (10)^9+""2(11)^1(10)^8+""3(11)^2(10)^7+""ddot""+""10(11)^9=k(10)^9 ...

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

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  9. If the sum 3/1^2+5/(1^2+2^2)+7/(1^2+2^2+3^2)+. . . + upto 20 terms is ...

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

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

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

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  13. The least positive integer n such that 1-2/3-2/3^2-............-2/3^(n...

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  14. Number of terms of an AP is even. The sum of odd terms is 24 an that o...

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  15. where f (n) = [(1)/(3) + (3n)/(100)] n, where [ n] denotes the greate...

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  16. If m is the A.M. of two distinct real numbers l and n""(""l ,""n"">...

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  17. The sum of first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)...

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  18. The value of sum(r = 16)^(30)(r + 2)(r - 3) is equal to :

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  19. The sum of the 3rd and the 4th terms of a G.P. is 60 and the product o...

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  20. If sum(n=1)^5 1/(n(n+1)(n+2)(n+3))=k/3, then k is equal to :-

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