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Find the sum of the following series : ...

Find the sum of the following series :
`1+3+6+10+15+…` to n terms.

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Verified by Experts

The correct Answer is:
`(1)/(6)n(n+1)(n+2)`
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CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 B (Long Answer Type Questions)
  1. Find the sum to n terms of each of the following series : 1.3 .5 + 3...

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  2. Find the sum of the following series : 3.1^(2) + 4.2^(2) + 5.3^(2) +...

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  3. Find the sum of the following series : 1+3+6+10+15+… to n terms.

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

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  5. The sum of first n terms of a series is n^(2) + an + b. Show that b = ...

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  6. If n is a positive integer, show that, (n+1)^(2) + (n+2)^(2) + …+ 4n...

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  7. Find the sum to n terms of each of the following series : (1) + (1+2...

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  8. Find the sum to n terms of each of the following series : (1^(2)) + ...

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  9. Find the sum to n terms of each of the following series : (3^(3) - 2...

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  10. Find the sum to n terms of each of the following series : (1) + (2+3...

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  11. Find the sum to n terms of each of the following series : (1)/(1.4) ...

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  12. Find the sum to n terms of each of the following series : (1)/(2.5) ...

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  13. Find the sum to n terms of each of the following series : n.1 + (n-1...

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  14. The sum of first P terms of an A.P. is equal to the sum of its first Q...

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  15. A series is given in the form : (1) + (2+3+4) + (5+6+7+8+9) +…. Find t...

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  16. The first and last terms of an A.P. are a and l respectively. If S be ...

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  17. If the first, second and last terms of A.P. be a, b, and c respectivel...

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  18. If S(n) be the sum of n consecutive terms of an A.P. show that, S(n+...

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  19. If S(n) be the sum of n consecutive terms of an A.P. show that, S(n+...

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  20. Let a(n) denote the n-th term of an A.P. and p and q be two positive i...

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