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Find the following sums : (i) 5 + 6 + ...

Find the following sums :
(i) `5 + 6 + 7 +…+ 100`
(ii) ` 15^(2) + 16^(2) +…+ 30^(2)`
` (iii) 4^(3)+ 8^(3) + 12^(3) +…+ 40^(3)`

Text Solution

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(i) 5040
(ii) 8440
(iii) 193600
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AAKASH INSTITUTE ENGLISH-SEQUENCES AND SERIES -Try Yourself
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  9. If G(1) is the first of n G.M. s between positive numbers a and b ,...

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  10. Find the 15^(th) term of the series 3 - 6 +9 - 12 + …

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  11. Find the r^(th) term of the series (2)/(4) + (4)/(4^(2)) + (6)/(4...

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  13. Find the following sums : (i) 5 + 6 + 7 +…+ 100 (ii) 15^(2) + 16...

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  14. Find the sum of n terms of the series whose nth terms is (i) n(n-1)...

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  15. Find the sum to n term of the series whose n^(th) term is given by ...

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  16. Find the sum of first n terms of the series 1^(3) + 3^(3) + 5^(3) +…

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  18. Find the sum of n terms of series : 3 + 5 + 9 + 15 + 23 + ………… n terms

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  19. Find the n^(th) term of the series 2 + 5 + 10 + 17 + 26 + …

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  20. The sum to infinity of the series 1/2.4+1/4.6+1/6.8+1/8.10+....... is

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