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Sum the series 3. 8+6. 11+9. 14+ . . . ...

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

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To sum the series \(3 \cdot 8 + 6 \cdot 11 + 9 \cdot 14 + \ldots\) up to \(n\) terms, we first need to identify the general term of the series. ### Step 1: Identify the nth term of the series The terms of the series can be expressed as: - The first term: \(3 \cdot 8\) - The second term: \(6 \cdot 11\) - The third term: \(9 \cdot 14\) ...
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RD SHARMA-SOME SPECIAL SERIES-Solved Examples And Exercises
  1. The sum n terms of the series 1/(sqrt(1)+sqrt(3))+1/(sqrt(3)+sqrt(5))+...

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

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

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

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

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  6. 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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  7. Show that (1xx2^2+2xx3^2+. . . +nxx(n+1)^2)/(1^2xx2+2^2xx3+. . . +n^2x...

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

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

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

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

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

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  14. Find the sum of the following series to n term: 1. 2. 4+2. 3. 7+3. 4. ...

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  15. Find the sum to 10 terms of the series 1xx2+2xx3+ 3xx4+ 4xx5+......

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  16. Find the sum of the following series to n term: 3xx1^2+5xx2^2+7xx3^2+....

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  17. Find the sum of the following series whose n t h term is: 2n^3+3n^2-1.

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  18. Find the sum of the following series whose n t h term is: n^3-3^ndot

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  19. Find the sum of the following series whose n th term is: n(n+1)(n+4)

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  20. Find the sum of the following series whose n th term is: (2n-1)^2

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