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a,b,c,d in R^+ such that a,b and c are i...

a,b,c,d `in R^+` such that a,b and c are in H.P and ap.bq, and cr are in G.P then `p/r+t/p` is equal to

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CENGAGE-PROGRESSION AND SERIES-Exercise (Single)
  1. If a ,b ,a n dc are in A.P. p ,q ,a n dr are in H.P., and a p ,b q ,a ...

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  2. If a ,b ,a n dc are in A.P. p ,q ,a n dr are in H.P., and a p ,b q ,a ...

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  3. a,b,c,d in R^+ such that a,b and c are in H.P and ap.bq, and cr are in...

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  4. If in a progression a1, a2, a3, e t cdot,(ar-a(r+1)) bears a constant...

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  5. If a,b, and c are in G.P then a+b,2b and b+ c are in

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  6. If a,x,b are in A.P.,a,y,b are in G.P. and a,z,b are in H.P. such that...

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  7. Let n in N ,n > 25. Let A ,G ,H deonote te arithmetic mean, geometric...

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  8. If A.M., G.M., and H.M. of the first and last terms of the series of 1...

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  9. If H1.,H2,…,H20 are 20 harmonic means between 2 and 3, then (H1+2)/(H1...

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  10. If the sum of n terms of an A.P is cn (n-1)where c ne 0 then the sum o...

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  11. If bi=1-ai na = Sigma(i=1)^(n) ai, nb = Sigma(i=1)^(n) bi " then " Si...

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  12. The sum 1+3+7+15+31+...to100 terms is 2^(100)-102 b b. 2^(99)-101 c. ...

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  13. Consider the sequence 1,2,2,4,4,4,8,8,8,8,8,8,8,8,... Then 1025th term...

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  14. The value of Sigma(i=1)^(n) Sigma(j=1)^(i) underset(k=1)overset(j) =22...

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  15. If 1^2+2^2+3^2++2003^2=(2003)(4007)(334)a n d(1)(2003)+(2)(2002)+(3)(2...

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  16. If tn denotes the nth term of the series 2+3+6+11+18+….. Then t50 is

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  17. The sum of series Sigma(r=0)^(r) (-1)^r(n+2r)^2 (where n is even) is

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  18. If(1^2-t1)+(2^2-t2)+….+(n^2-tn)=(n(n^2-1))/(3) then tn is equal to

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  19. If (1+3+5++p)+(1+3+5++q)=(1+3+5++r) where each set of parentheses cont...

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  20. If Hn=1+12++1/ndot , then the value of Sn=1+3/2+5/3++(99)/(50) is H(50...

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