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Sum of series 1^2+(1^2+2^2)+(1^2+2^2+3^2...

Sum of series `1^2+(1^2+2^2)+(1^2+2^2+3^2)+....` upto 22 terms is

A

23276

B

22736

C

22738

D

227152

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The correct Answer is:
A
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MCGROW HILL PUBLICATION-PROGRESSIONS-EXERCISES LEVEL-1 (Single Correct Answer Type Questions)
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  2. If 1^2+2^2+3^2+n^2-1015 then the value of n is equal to (A) 13 (B) 14 ...

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  3. Sum of series 1^2+(1^2+2^2)+(1^2+2^2+3^2)+.... upto 22 terms is

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  4. If a,b,c are in A.P and a^2, b^2, c^2 are in H.P then

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  6. If a,b, c are in G.P., then the equations ax^(2) + 2bx + c = 0 and dx^...

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  8. Suppose (1)/(2)x, lx,+1l,lx-1l,1l are in A.P., then sum to 10 terms of...

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  9. Let the harmonic mean and geometric mean of two positive numbers be in...

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

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  11. If log(a+c)+log(a+c-2b)=2log(a-c) then

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  12. The sum of intergers from 1 to 100 that are divisible by 2 or 5 is -

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  13. The common difference d of the A.P. in which T(7) = 9 and T(1)T(2)T(7)...

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  14. The numbers 3^(2sin2alpha-1),14and3^(4-2sin2alpha) form first three te...

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  15. Sum of first 'n' terms of the series 3/2+5/4+9/8+17/16+...

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  16. The sum of n terms of the series 1^2+2.2^2+3^2+2.4^2+5^2+2.6^2+.... is...

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  17. Find the sum series: tan^-1 (1/3)+tan^-1 (1/7)+tan^-1(1/13)+…to oo

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  18. FInd the sum of infinite terms of the series 1/(1.2.3)+1/(2.3.4)+1/(3...

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  19. If n!, 3n! and (n-1)! are in G.P then n!, 5n! and (n+1)! are in

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  20. If S(n)=81+54+36+24+.. upto n terms, then value of x=(S(n)-4S(n-1)+6S(...

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