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PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
- 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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- The series of natural number is divided into groups 1 , 2, 3, 4,.........
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- sum(i = 1)^n sum(j = 1)^i sum(k = 1)^j 1 is equal to
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- The sides of a right angle triangle from a G.P. the tangent of the sma...
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- If the first & the (2n + 1)th terms of an A.P. , a G.P & an H.P. of po...
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- If the arithmetic mean of two positive numbers a & b (a gt b) is twice...
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- If Sn denotes the sum to n terms of the series (1 le n le 9) 1 + 22 + ...
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- If a , b , c are in H.P. , then
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- Let S1 , S2,,,,, be squares such that for each n ge 1 the length of a ...
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- Given a sequence t1 , t2 ,..... if its possible to find a function f(r...
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- Given a sequence t1 , t2 ,..... if its possible to find a function f(r...
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- Let a1, a2 , a3,...., am be the arithmetic means between -2 and 1027 a...
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- Let a1, a2 , a3,...., am be the arithmetic means between -2 and 1027 a...
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