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If sum(r=1)^n Tr=(3^n-1), then find the ...

If `sum_(r=1)^n T_r=(3^n-1),` then find the sum of `sum_(r=1)^n1/(T_r)` .

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. Find the sum of the following series to n terms 5+7+13+31+85+

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  2. Find the sum to n terms of the series 1//(1xx2)+1//(2xx3)+1//(3xx4)+.....

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  3. If sum(r=1)^n Tr=(3^n-1), then find the sum of sum(r=1)^n1/(Tr) .

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  4. Find the sum to n terms of the series 3+15+35+63+

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  5. Sum of n terms the series : 1^2-2^2+3^2-4^2+5^2-6^2+....

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  6. If sum(r=1)^n Tr=n(2n^2+9n+13), then find the sum sum(r=1)^nsqrt(Tr)do...

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  7. Find the sum of the series 31^3+32^3+....+50^3dot

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  8. Find the sum of the first n terms of the series 1^3+3.2^2+3^3+3.4^2+5^...

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

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  10. 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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  11. If a ,b ,c are in A.P., then prove that the following are also in A.P....

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  12. If a ,b ,c are in A.P., then prove that the following are also in A.P....

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  13. If a ,b ,c are in A.P., then prove that the following are also in A.P....

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  14. The Fibonacci sequence is defined by 1=a1=a2 and an=a(n-1)+a(n-2,)n > ...

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  15. Consider the sequence defined by an=a n^2+b n+c dot If a1=1,a2=5,a n d...

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  16. Show that the sequence 9, 12, 15, 18, ... is an A.P. Find its 16th ...

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  17. A sequence of integers a1+a2+......+an satisfies a(n+2)=a(n+1)-an fo...

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  18. Write down the sequence whose nth term is 2^n//n and (ii) [3+(-1)^n]/...

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  19. Write the first three terms of the sequence defined by a1= 2,a(n+1)=(2...

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  20. Find the sequence of the numbers defined by an={1/n , when n is odd...

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