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PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
- The series of natural number is divided into groups as follows , (1), ...
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- The sum of 10 terms of the series (x+1/x)^2+(x^2+1/x^2)^2+(x^3+1/x^3)...
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- If the sequence 1,2,2,4,4,4,4,,8,8,8,8,8,8,8,8,.... where n consecutiv...
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- Sum of n terms of the series (2n-1)+2(2n-3)+3(2n-5)+.... is
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- The cubes of the natural numbers are grouped as 1^3,(2^3,3^3),(4^3,5^3...
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- Let f(n)=[1/2+n/100] where [x] denote the integral part of x. Then th...
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- ABC is a right angled triangle in which angleB=90^@ and BC=a. If n poi...
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- If a,b,c are three distinct positive real number such that a^2+b^2+c^2...
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- The sum of the series 1^3 - 2^3 + 3^3 - ....+ 9^3=
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- If x1, x2 , x3 and y1 , y2 , y3 are both in G.P. with the same common ...
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- Let two numbers have arithmetic mean 9 and geometric mean 4. Then thes...
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- The sum of the first n terms of the series 1^2+2.2^2+3^2+2.4^2+5^2+2.6...
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- Let a1 , a2 , a3,.... be terms of an A.P. if (a1 + a2 +....+ ap)/(a1 +...
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- If a1,a2,.....an are in H.P., then the expression a1a2 + a2a3 + ... + ...
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- If the sum of first n natural numbers is 1/5 times the sum of their sq...
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- log3 2 , log6 2 and log12 2 are in
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- If x be the AM and y,z be two GM's between two positive numbers, then ...
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- If In (a + c), In(c - a) , In(a - 2b + c) are in A.P., then
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- The sum of the numerical series 1/(sqrt3 + sqrt7) + 1/(sqrt7 + sqrt11)...
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- Suppose that F(n + 1) =(2F(n) + 1)/2 for n = 1,2,3,,,, and F(1) = 2. T...
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