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The harmonic mean between two numbers is...

The harmonic mean between two numbers is 21/5, their A.M. `' A '` and G.M. `' G '` satisfy the relation `3A+G^2=36.` Then find the sum of square of numbers.

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
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  2. 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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  3. The harmonic mean between two numbers is 21/5, their A.M. ' A ' and G....

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

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

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

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

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

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

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

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

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

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

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

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

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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 1+1/(1+2)+1/(1+2+3)+..........+1/(1+2+3+.........+n)dot

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  20. Find the sum to n terms of the series 1/(1 + 1^2 + 1^4) + 2/(1 + 2^2...

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