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Find the sum of the series: 1. n+2.(n-1)...

Find the sum of the series: `1. n+2.(n-1)+3.(n-2)++(n-1). 2+n .1.`

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RD SHARMA ENGLISH-SOME SPECIAL SERIES-All Questions
  1. Find the sum to n terms of the series: 3+15+35+63+

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  2. Find the sum to n terms of the series: 1+5+12+22+35+........

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

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  4. Find the sum of series (3^3-2^3)+(5^3-4^3)+(7^3-6^3)+... n terms.

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  5. If Sn=sum(r=1)^n(1+2+2^2+ .......+2^r)/(2^r), then Sn is equal to (a)2...

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  6. The value of sum(r=1)^n{(2r-1)a+1/(b^r)} is equal to (a)a n^2+(b^(n-...

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  7. The sum of the series: 1/((log)2 4)+1/((log)4 4)+1/((log)8 4)++1/((log...

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  8. The sum n terms of the series 1/(sqrt(1)+sqrt(3))+1/(sqrt(3)+sqrt(5))+...

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  9. Find the sum of n terms of the series 1*2*3+2*3*4+3*4*5...........

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  10. Sum the series 3. 8+6. 11+9. 14+............... to n terms.

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  11. Find the sum of n terms of the series whose n t h term is: 2n^2-3n+5

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  12. Find the sum to n terms of the series whose nth term is n^2+2^n.

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  13. Find the sum of the series (1^3)/1+(1^3+2^3)/(1+3)+(1^3+2^3+3^3)/(1+3+...

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  14. Show that (1xx2^2+2xx3^2+dotdotdot+nxx(n+1)^2)/(1^2xx2+2^2xx3+dotdotdo...

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  15. If S1, S2, S3 are the sums of first n natural numbers, their squares a...

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  16. Find the sum to n terms of the series :1^2+(1^2+2^2)+(1^2+2^2+3^2)+......

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  17. The sequence N of natural numbers is divided into classes as follows. ...

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  18. Find the sum of the following series to n term: 1^3+3^3+5^3+7^3+.........

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  19. Find the sum of the following series to n term: 2^3+4^3+6^3+8^3+.........

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  20. Find the sum of the following series to n term: 1. 2. 5+2. 3. 6+3. 4. ...

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