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SEQUENCES AND SERIES
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NEW JOYTHI PUBLICATION-SEQUENCES AND SERIES -EXERCISE
- If G is the GM between a and b the 1/(G + a) + 1/(G + b) =
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- If |r| gt 1, x = a + a/r + a/r^(2) + .......... infty, y = b - b/r + b...
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- If the p^(th) term if an A.P. is q and the q^(th) term of an A.P is p ...
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- The sum of the series 1^(2) + 3^(2) + 5^(2) + ......+n'
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- The sum of 10 terms of the series sqrt(2) + sqrt(6) + sqrt(18) + .... ...
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- If three positive real numbers a, b, c are in A.P and abc = 4, then th...
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- Sum to infininty of the series 1 + 4/5 + 7/5^(2) + 10/5^(3) + ...... i...
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- The sum of the series 2, 5, 8, 11, …… is 60100, then n is
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- Let a(n) be the n^(th) term of a G.P of positive integers. Let sum(n =...
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- cos x = b for what b do the roots of the equation form an A.P?
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- Sum of all terms in in G.P is 5 times the sum of odd terms. The common...
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- Sum of n terms of the serise sqrt(2) + sqrt(8) + sqrt(18) + sqrt(32) +...
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- The sum of series 1 + 2x + 3x^(2) + 4x^(3) + ...... up to infinity whe...
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- If log(3)^(2),log(3)(2^(x) - 5) and log(2^(x) - 7/2)are in A.P then th...
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- If the sum of first n positive integers is 1/5 times the sum of their ...
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- The second term of an A.P is (x - y) and fifth term is (x + y), then t...
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- Three numbers are in G.P. if we double the middle term, we get an A.P....
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- Three non zero numbers a, b, c are in A.P. Increasing a by 1 or increa...
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- If x gt 0 then the sum of the series e^(-x) - e^(-2x) + e^(-3x) .........
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- The sum of the series 0.4 + 0.004 + 0.00004 + infty is
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