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KUMAR PRAKASHAN-SEQUENCE AND SERIES-Miscellaneous Exercise
- Let the sum of n, 2n, 3n terms of an A.P. be S1, S2 and S3 , respectiv...
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- Find the sum of all numbers between 200 and 400 which are divisible by...
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- Find the sum of integers from 1 to 100 that are divisible by 2 or 5.
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- Find the sum of all two digit numbers which when divided by 4, yields ...
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- If f is a function satisfying f (x +y) = f(x) f(y) for all x, y in N ...
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- The sum of some terms of G.P. is 315 whose first term and the common r...
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- The first term of a G.P. is 1. The sum of the third term and fifth ter...
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- The sum of three numbers in G.P. is 56. If we subtract 1, 7, 21 from t...
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- A G.P. consists of an even number of terms. If the sum of all the term...
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- The sum of the first four terms of an A.P. is 56. The sum of the last ...
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- If (a+bx)/(a-bx)=(b-cx)/(b-cx)=(c+dx)/(c-dx)( x ne 0) then show that ...
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- Let S be the sum, P the product and R the sum of reciprocals of n term...
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- The p^(th), q^(th) and r^(th) terms of an A.P. are a, b, c, respectiv...
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- If a(1/b+1/c),b(1/c+1/a),c(1/a+1/b) are in A.P., prove that a,b,c are...
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- If a, b, c, d are in G.P, prove that (a^n + b^n), (b^n + c^n), (c^n +...
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- If a and b are the roots of x^2 – 3x + p = 0 and c, d are roots of x^...
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- The ratio of the A.M. and G.M. of two positive numbers a and b, is m :...
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- If a, b, c are in A.P., b, c, d are in G.P. and 1/c,1/d,1/e are in A.P...
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- Find the sum of the following series up to n terms: (i) 5+55+555+......
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- Find the sum of the following series up to n terms: (i) 5+55+555+......
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