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Find the sum of the infinite series. 1/(...

Find the sum of the infinite series. `1/(1.5)+1/(3.7)+1/(5.9)+...`

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Find the sum of the infinite series. 1/(2.5.8)+1/(5.8.11)+1/(8.11.14)+...

Find the sum of the infinite series. 3/(1^(2).2^(2))+5/(2^(2).3^(2))+7/(3^(2).4^(2))+...

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MBD PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
  1. Find the sum of the infinite series.1/(2.5.8)+1/(5.8.11)+1/(8.11.14)+....

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  2. Find the sum of the infinite series.3/(1^(2).2^(2))+5/(2^(2).3^(2))+7/...

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  3. Find the sum of the infinite series. 1/(1.5)+1/(3.7)+1/(5.9)+...

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  4. Find Sn for the series. 1.2 + 2.3 + 3.4 +…

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  5. Find Sn for the series. 1.2.3 + 2.3.4 + 3.4.5 +….

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  6. Find Sn for the series. 2.5.8 + 5.8.11 + 8.11.14 +...

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  7. Find Sn for the series. 1.2.3.4 + 2.3.4.5 + 3.4.5.6 +…

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  8. Find Sn for the series. 1.5 + 2.6 + 3.7 + …..

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  9. Find Sn for the series. 2.3 + 3.6 + 4.11 + ….

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  10. Find Sn for the series. 1.3^2+2.5^2+3.7^2+...

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  11. Find the sum of first n terms of the series, 5+6+8+12+20+…

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  12. Find the sum of first n terms of the series, 4+5+8+13+20+…

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  13. Find the sum of the product of 1,2,3….20 taken two at a time.

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  14. Do the same for 1, 3, 5, 7,…..19.

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  15. If a=1,+x+x^2... and b=1+y+y^2+...[x|lt1and]y|lt1, then prove that 1-x...

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  16. If a,b,c are respectively the p^(th),q^(th),r^(th) terms of an A.P.,th...

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  17. If 1/a,1/b,1/c are in A.P. and a+b+cne02 prove that (b+c)/a,(c+a)/b,(...

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  18. If a^2,b^2,c^2 are in A.P. prove that 1/(b+c),1/(c+a),1/(a+b)are in A....

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  19. If (b+c)/a,(c+a)/b,(a+b)/c are in A.P.,prove that 1/a,1/b,1/c are in A...

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  20. If (a-c)^2,(c-a)^2,(a-b)^2 are in A.P.,prove that 1/(b-c),1/(c-a),1/(a...

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