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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
- The mth term of a H.P is n and the nth term is m . Proves that its rth...
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- The pth term of an A.P. is a and qth term is bdot Then find the sum o...
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- If agt1,bgt1andcgt1 are in G.P., then show that 1/(1+log(e)a),1/(1+log...
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- Solve the equation (x+1)+(x+4)+(x+7)+....+(x+28)=155.
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- 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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- The ratio of the sum of m and n terms of an A.P. is m^(2) :n^(2). Show...
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- If first three terms of the sequence 1/16 ,a , b , 1/6 are in geometri...
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- The sum of n ,2n ,3n terms of an A.P. are S1S2, S3, respectively. Prov...
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- In a certain A.P., 5 times the 5th term is equal to 8 times the 8th ...
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- If x is a positive real number different from 1, then prove that the n...
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- Which term of the sequence 20 ,19 1/4, 18 1/2, 17 3/4,dot is the first...
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- 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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- Find the sum sum(r=1)^n r(r+1)(r+2)(r+3)
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- Find the sum sum(r=1)^n r/((r+1)!) where n!=1xx2xx3....n.
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- Find the sum sum(r=1)^n r(r+1)(r+2)(r+3)
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- Find the sum 1+1/(1+2)+1/(1+2+3)+..........+1/(1+2+3+.........+n)dot
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- Find the sum to n terms of the series 1/(1 + 1^2 + 1^4) + 2/(1 + 2^2...
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- Find the sum to n terms of the series 3//(1^2xx2^2)+5//(2^2xx3^2)+7//(...
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- Find the sum sum(r=1)^n1/((a r+b)(a r+a+b))dot
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- If x=sum(n=0)^ooa^n , y=sum(n=0)^oob^n , z=sum(n=0)^ooc^n , w h e r e ...
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