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VMC MODULES ENGLISH-SEQUENCE AND SERIES -LEVEL-1
- Sum of the series 1+2^2x +3^2x^2 + 4^2x^3 …….to oo , |x| < 1 is :
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- if r>1 and x=a+a/r+a/r^2+...............oo , y=b-b/r+b/r^2-..............
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- The odd value of n for which 704+1/2(704)+… upto n terms = 1984-1/2(1...
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- If every even term of a series is a times the term before it and every...
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- If a^x=b^y=c^z and a,b,c are in G.P. show that 1/x,1/y,1/z are in A.P.
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- If a ,b ,c are in G.P. and x ,y are the arithmetic means of a ,ba n db...
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- If ai > 0 for i=1,2,…., n and a1 a2 … a(n=1) , then minimum value o...
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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...
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- One side of a equilateral triangle is 24 cm. The mid-points of its sid...
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- The sum to infinity of the series 1+2(1-(1)/(n))+3(1-(1)/(n))^(2)+ ....
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- Let an be the nth term of a G.P. of positive numbers. Let sum(n=1)^(10...
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- The sum of the series (1 2/3)^(2) + (2 1/3)^(2) + 3^2 + (3 2/3)^(2) ...
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- The roots of equation x^2+2(a-3)x+9=0 lie between -6 and 1 and 2, h1, ...
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- If a,b,c are real numbers such that 3(a^(2)+b^(2)+c^(2)+1)=2(a+b+c+ab...
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- The number a, b and c are between 2 and 18, such that (i) their su...
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- three number a,b,c are in GP such that : (i) a+b+c=70 (ii) 4a,5b,4c a...
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- If tr denotes the r^(th) term of an G.P. and t1 t5 t10 t16 t21 t25 ...
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- The summation of series sum(r=1->99) 1/(sqrt(r+1)+sqrtr) is:
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- If a,b,c are in A.P. then the roots of the equation (a+b-c)x^2 + (b-a...
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