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Set of real numbers is a proper subset of the set of Complex numbers..
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The middle terms may be easily found out by using the following method: i) When n is even, we add the even number 2 to n and divide by 2 to get the middle term i.e., term. ii) When n is odd, we add the odd numbers 1 and 3 to n and divide by 2 to get the middle terms i.e., t..
The middle terms may be easily found out by using the following method: i) When n is even, we add the even number 2 to n and divide by 2 to get the middle term i.e., term. ii) When n is odd, we add the odd numbers 1 and 3 to n and divide by 2 to get the middle terms i.e., t..Note:
If two matrices A and B are not of same order, A + B and A - B are not define..
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Sum to infinity exists only when r is numerically less than 1. i.e. |r|<..
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A ratio is always expressed in its lowest term..
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i) The series formed by the reciprocals of the terms of a geometric series is also a geometric series. ii) There is no general method of finding the sum of a harmonic progressi..
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The above formula is useful for finding the logarithm of negative numbers als..
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The L.H.S of (ii) and (iii) will have only finite number of terms, because n C r = 0 in case r>..
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In case of no ambiguity, the binomial coefficients n C 0 , n C 1 , ..... n C n are written as C 0 , C 1 , ..... C n..
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