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

Find the sum `1+1/(1+2)+1/(1+2+3)+..........+1/(1+2+3+.........+n)dot`

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. Find the sum sum(r=1)^n r/((r+1)!) where n!=1xx2xx3....n.

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  2. Find the sum sum(r=1)^n r(r+1)(r+2)(r+3)

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  3. Find the sum 1+1/(1+2)+1/(1+2+3)+..........+1/(1+2+3+.........+n)dot

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  4. Find the sum to n terms of the series 1/(1 + 1^2 + 1^4) + 2/(1 + 2^2...

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  5. Find the sum to n terms of the series 3//(1^2xx2^2)+5//(2^2xx3^2)+7//(...

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  6. Find the sum sum(r=1)^n1/((a r+b)(a r+a+b))dot

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  7. If x=sum(n=0)^ooa^n , y=sum(n=0)^oob^n , z=sum(n=0)^ooc^n , w h e r e ...

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  8. If the sum of the series sum(n=0)^oor^n ,|r|<1 is s , then find the s...

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  9. Find the sum of the series sum(k=1)^(360)(1/(ksqrt(k+1)+(k+1)sqrt(k)))

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  10. Find the sum (1^4)/(1xx3)+(2^4)/(3xx5)+(3^4)/(5xx7)+......+(n^4)/((2n-...

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  11. Find the value of 11^2+12^2+13^2++20^2dot

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  12. Find the sum 2+5+10+17+26+. . . .

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  13. Find the sum up to 20 terms. 1+1/2(1+2)+1/3(1+2+3)+1/4(1+2+3+4)+....

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  14. If a, b and c are in G.P. then prove that <math xmlns="http://www.w3...

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  15. Find the value of (32).(32)^(1//6).(32)^(1//36) ......... oo.

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  16. Find the sum of the series 1^2+3^2+5^2+ ton terms.

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  17. If S=1/(1xx3xx5)+1/(3xx5xx7)+1/(5xx7xx9)+ddot to infinity, then find t...

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  18. If the sum of the roots of the quadratic equation a x^2+b x+c=0 is equ...

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  19. Let Tr denote the rth term of a G.P. for r=1,2,3, If for some positive...

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  20. Prove that (b^2+c^2)/(b+c)+(c^2+a^2)/(c+a)+(a^2+b^2)/(a+b)> a+b+c

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