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MODERN PUBLICATION-SEQUENCES AND SERIES -MCQ ( Level-II)
- 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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- sum(i=1)^(n) sum(j=1)^(i)sum(k=1)^(j) 1 equals :
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- If log(x)a,a^(x//2) and log(b)x are in G.P., then x equals :
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- If x,y,z are in A.P. and tan^(-1)x , tan^(-1)y and tan^(-1) z are als...
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- If P,Q,R be the A.M., G.M., H.M. respectively between any two rational...
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- Let S = ( 8 ) /( 5) + ( 16)/( 65) +"...." + ( 128)/( 2^(18) + 1) , th...
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