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MODERN PUBLICATION-SEQUENCES AND SERIES -MCQ ( Level-II)
- If x(1), x(2),"……….",x(n) are n non zero real numbers such that (x(1)^...
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- For 0 lt theta lt ( pi )/(2) , if x = sum(n=0)^(oo)cos^(2n) theta, y =...
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- If a(1), a(2) ,a(3)"….." is an A.P. such that : a(1) + a(5) + a(10)+...
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- If f(x) is a function satisfying f(x+y) = f(x) f(y) for all x,yin N su...
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- If sin alpha, sin^(2) alpha, 1,sin^(4) alpha, sin^(5) alpha, ( - pi lt...
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- If A,G and H are respectively A.M.,G.M. and H.M. of three positive num...
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- x+y+z = 15 if 9, x,y,z,a are in A.P., while (1)/( x) + ( 1)/( y) + ( ...
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- If p,q,r are in A.P. and are positive, the roots of the quadratic equa...
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- Let a^(n) be the nth term of the G.P. of positive numbers. Let sum(n=1...
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- Let f(x) be a function satisfying f(x+y) = f(x) f(y) for all x,y in N ...
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- For any odd integer n ge1, n^(3) - ( n - 1)^(3) + "….." + ( -1)^(n-1)1...
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- The sum to infinity of the series : 1+2 ( 1-(1)/( n )) + 3( 1 - ( 1)...
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- If a,b,c are digits, then the rational number represented by 0.c ab ab...
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- If I(n) = int(0)^(n) ( 1- sin 2nx)/( 1-cos 2n)dx then I(1) , I(2) , I(...
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- If p,q,r , three positive real numbers are in A.P., then the roots of ...
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- If a(1),a(2) , a(3),"……..",a(n) are in H.P. , then : (a(1))/( a(2) ...
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- The value of sum(r=1)^(n) log ((a^(r ))/( b^(r-1))) is :
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- If a(1) , a(2),"………",a(n) are n non-zero real numbers such that ( a(1)...
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- The sum of n terms of the series : (1)/( 1.2.3.4) + ( 1)/( 2.3.4.5) ...
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- If sum(r=1)^(prop) t(r ) = ( n (n +1) ( n + 2) ( n + 3))/( 8 ) , wher...
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