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

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

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If n is a even number, find the sum of the series upto n terms 1^2-2^2+3^2-4^2+5^2-......

The sum of the first n terms of the series 1^2+2.2^2+3^2+2.4^2+5^2+2.6^2+........ is (n(n+1)^2)/2 when n is even. When n is odd the sum is

Find the sum of the first n terms of the series 1^3+3.2^2+3^3+3.4^2+5^2+3.6^2+.... when n is odd

Find the sum of the first n terms of the series 1^3+3.2^2+3^3+3.4^2+5^2+3.6^2+.... when n is even

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The sum of first n terms of the series 1^(2)+ 2 . 2^(2) + 3^(2) + 2. 4 ^(2) + 5^(2) +… is n/2 (n+1) ^(2) when n is even , When n is odd then the sum will be-

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

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. If sum(r=1)^n Tr=(3^n-1), then find the sum of sum(r=1)^n1/(Tr) .

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Find the sum of n terms of the sequence (an),w h e r e an=5-6n ,n in ...

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  20. Show that the sequence loga ,log(a b),log(a b^2),log(a b^3), is an A.P...

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