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The greatest value x^2y^3 is, where xgt0...

The greatest value `x^2y^3` is, where `xgt0` and `ygt0` are connected by the relation 3x+4y=5

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PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
  1. If a,b,c,d are positive real number such that a+b+c+d=2 , then M=(a+b)...

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  2. If a1,a2,.....an are positive real number whose product is a fixed num...

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  3. The greatest value x^2y^3 is, where xgt0 and ygt0 are connected by the...

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  4. Let S=8/5+16/65+......128/(2^18+1) then

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  5. The sum of the infinite terms of the series 5/(3^2. 7^2)+9/(7^2. 11^2)...

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  6. The sum to infinity of the series 1+2/3+6/3^2+10/3^3+14/3^4+....

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  7. The sum to n terms of the series 1+2(1+1/n)+3(1+1/n)^2+....... is give...

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  8. For absx lt1 the value of 1+3x+6x^2+10x^3+.....t o infty is

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  9. If pth, qth, and rth term of an AP are equal to corresponding terms of...

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  10. If a,b,c are positive real number, then the least value of (a+b+c)(1/a...

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  11. An infinite GP has first term x and sum 5, then x belongs to

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  12. 2^(1/4),2^(2/8),2^(3/16),2^(4/32)......infty is equal to

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  13. Let alpha , beta be the roots of x^2-x+p=0 and gamma,delta be the root...

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  14. If f(x) is a function satisfying f(x+y)=f(x)f(y) for all x,yin N such ...

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  15. Sum of n terms of the series 8+88+888+....equals

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  16. The sum of the first n terms of the series 1^2+2.2^2+3^2+2.4^2+5^2+2.6...

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  17. The sum of integer in between 1 to 100 which is divisible by 2 or 5 is

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  18. 1/2+3/4+7/8+15/16+..... t o n terms =

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  19. 0ltthetaltpi/2, if x=sum(n=0)^inftycos^(2n)theta,y=sum(n=0)^inftysin^(...

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  20. If x in{1,2,3......9} and fn(x) =x x x ...x (n digits ), then fn^2(3)+...

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