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Find the sum 1^2+(1^2+2^2)+(1^2+2^2+3^2)...

Find the sum `1^2+(1^2+2^2)+(1^2+2^2+3^2)+` up to 22nd term.

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
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  2. Insert four G.M.’s between 2 and 486.

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  3. Find the sum 1^2+(1^2+2^2)+(1^2+2^2+3^2)+ up to 22nd term.

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  4. If G is the geometric mean of xa n dy then prove that 1/(G^2-x^2)+1/(G...

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  5. If the A.M. of two positive numbers aa n db(a > b) is twice their geom...

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  6. The sum of infinite number of terms in G.P. is 20 and the sum of their...

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  7. Find the sum of the series 1+2(1-x)+3(1-x)(1-2x)+....+n(1-x)(1-2x) ...

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  8. Prove that 6^(1//2)xx6^(1//4)xx6^(1//8)...oo=6.

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  9. Three numbers are in G.P. whose sum is 70. If the extremes be each mul...

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  10. If x=a+a/r+a/(r^2)+oo,y=b-b/r+b/(r^2)+oo,a n d z=c+c/(r^2)+c/(r^4)+o...

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  11. Find the sum of n terms 1+4+13+40+121+....dot

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  12. If each term of an infinite G.P. is twice the sum of the terms foll...

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  13. The sum to n terms of series 1+(1+1/2+1/(2^2))+(1+1/2+1/(2^2)+1/(2^3))...

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  14. Find the sum of the following series: (sqrt(2)+1)+1+(sqrt(2)-1)+.........

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  15. If the set of natural numbers is partitioned into subsets S1={1},S2={2...

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  16. If p(x)=(1+x^2+x^4++x^(2n-2))//(1+x+x^2++x^(n-1)) is a polomial in x ,...

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  17. If the sum of the squares of the first n natural numbers exceeds their...

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  18. If f(x) is a function satisfying f(x+y)=f(x)f(y) for all x,yin N such ...

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  19. If sum(r=1)^nTr =n/8(n+1)(n+2)(n+3) then find sum(r=1)^n1/Tr

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  20. Find the sum to n terms of the series :1xx2xx3 + 2xx3xx4 + 3xx4xx5 + ....

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