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Find the sum 3/2-5/6+7/(18)-9/(54)+...oo...

Find the sum `3/2-5/6+7/(18)-9/(54)+...oodot`

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Find the sum of each of the following infinite geometric series, if it exists : (4)/(7) - (5)/(7^(2)) + (4)/(7^(3)) - (5)/(7^(4)) + (4)/(7^(5)) - (5)/(7^(6)) +…oo

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. Find the number of common terms to the two sequences 17,21,25,...,417 ...

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  2. If the 20th term of a H.P. is 1 and the 30th  term is -1/17, then find...

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  3. Find the sum 3/2-5/6+7/(18)-9/(54)+...oodot

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  4. If a ,b ,ca n dd are in H.P., then prove that (b+c+d)//a ,(c+d+a)//b ,...

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  5. The harmonic mean between two numbers is 21/5, their A.M. ' A ' and G....

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  6. The mth term of a H.P is n and the nth term is m . Proves that its rth...

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  7. The pth term of an A.P. is a and qth term is bdot Then find the sum o...

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  8. If agt1,bgt1andcgt1 are in G.P., then show that 1/(1+log(e)a),1/(1+log...

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  9. Solve the equation (x+1)+(x+4)+(x+7)+....+(x+28)=155.

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  10. If a ,b ,a n dc be in G.P. and a+x ,b+x ,and c+x in H.P. then find the...

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  11. The ratio of the sum of m and n terms of an A.P. is m^(2) :n^(2). Show...

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  12. If first three terms of the sequence 1/16 ,a , b , 1/6 are in geometri...

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  13. The sum of n ,2n ,3n terms of an A.P. are S1S2, S3, respectively. Prov...

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  14. In a certain A.P., 5 times the 5th term is equal to 8 times the 8th ...

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  15. If x is a positive real number different from 1, then prove that the n...

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  16. Which term of the sequence 20 ,19 1/4, 18 1/2, 17 3/4,dot is the first...

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  17. If Sn=n P+(n(n-1))/2Q ,w h e r eSn denotes the sum of the first n term...

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  18. Find the sum sum(r=1)^n r(r+1)(r+2)(r+3)

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  19. Find the sum sum(r=1)^n r/((r+1)!) where n!=1xx2xx3....n.

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  20. Find the sum sum(r=1)^n r(r+1)(r+2)(r+3)

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