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If a,b,c ,d are distinct integer in AP s...

If a,b,c ,d are distinct integer in AP such that `d=a^2+b^2+c^2`, then a+b+c+d is

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. Prove that (666....6)^2+(888....8)=4444.....4.

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  2. If a is the A.M. of b and c and the two geometric mean are G1 and G2...

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  3. If a,b,c ,d are distinct integer in AP such that d=a^2+b^2+c^2, then a...

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  4. The 8th and 14th term of a H.P. are 1/2 and 1/3, respectively. Find it...

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  5. Find the number of common terms to the two sequences 17,21,25,...,417 ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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