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PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
- Prove that ((bc+ac+ab)/(a+b+c))^(a+b+c)ge(b)^a(c)^b(a)^c [where a,b,c ...
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- If log2,log(2^n-1) and log(2^n+3) are in A.P. then n =
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- If the ratiio of the sum of n terms ofd two AP's is (3n+1):(2n+3) then...
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- If a1,a2,a3,.......an are in AP where a1 gt 0foralli then the value of...
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- Given p no. of A.P. each of which consists of an n terms. If their fir...
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- Answer the following question based on above passage: The coefficient...
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- If a,b,c ,d and p are distinct real number such that (a^2+b^2+c^2)p^2-...
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- Suppose a,b,c are in A.P and a^2,b^2,c^2 are in G.P. If a lt b lt c an...
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- The value of 4^(1/3).4^(1/9).4^(1/27)....infty is.
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- If the sum of an infinite GP is 20 and sum of their square is 100 then...
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- If S=1+a+a^2+....... t o infty , then a=
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- If 4a^2+9b^2+16c^2=2(3ab+6bc+4ca) where a,b,c are non zero real number...
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- If a,b,c in AP and x=sum(n=0)^inftya^n,y=sum(n-0)^inftyb^n,z=sum(n-0)^...
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- If a,b,c are in G.P., then the equations ax^2+2bx+c =0 and dx^2+2ex+f ...
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- If the product of n positive number is unity, then their sum is
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- If x1gt0,i=1,2.....50 and x1+x2+.....x50=50 then the minimum value of ...
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- If a,b,c,d are positive real number such that a+b+c+d=2 , then M=(a+b)...
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- If a1,a2,.....an are positive real number whose product is a fixed num...
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- The greatest value x^2y^3 is, where xgt0 and ygt0 are connected by the...
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- Let S=8/5+16/65+......128/(2^18+1) then
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