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RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
- If x=sum(n=0)^oocos^(2n)theta,y=sum(n=0)^oosin^(2n)varphi,z=sum(n=0)^o...
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- The sum of an infinite G.P. is 57 and the sum of their cubes is 9457 ,...
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- Which is the rational number having the decimal expansion 0.3 bar( 56)...
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- A square is drawn by joining the mid-points of the sides of a square. ...
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- After striking a floor a certain ball rebounds (4/5)^(t h) of the heig...
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- Sum the following geometric series to infinity: 1/2+1/(3^3)+1/(2^3)+1/...
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- If x=a+a/r+a/(r^2)+oo,y=b-b/r+b/(r^2)+oo,a n dz=c+c/(r^2)+c/(r^4)+oo, ...
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- If x=1+a+a^2+oo,w h e r e|a|<1a n dy=1+b+b^2+oo,w h e r e|b|<1. prove...
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- If A=1+r^a+r^(2a)+ to oo and B=1+r^b+r^(2b)+oo , prove that r=((A-1)/A...
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- Prove that the product n geometric means between two quantities is equ...
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- If a ,b ,c ,d are four distinct positive numbers in G.P. then A. a +...
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- Find the value of n so that (a^(n+1)+b^(n+1))/(a^n+b^n)may be the geo...
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- Insert 5 geometric means between 576 and 9.
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- Let x be the arithmetic mean and y ,z be tow geometric means between a...
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- Find two positive numbers whose difference is 12 an whose A.M. exce...
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- If one geometric mean G and two arithmetic means A1a n dA2 be inserted...
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- If a is the A.M. of b and c and the two geometric means are G1 and G2...
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- If x in R , find the minimum value of the expression 3^x+3^(1-x)dot
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- If x ,y ,z are distinct positive numbers, then prove that (x+y)(y+z)(z...
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- If a ,b ,c are in G.P. then prove that (a^2+a b+b^2)/(b c+c a+a b)=(b+...
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