general term for fractional index


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General Term for Fractional Index
The General Term for Fractional Index is:..
General Term for Fractional Index
For n Q and |x|<1, we have ...
Particular Terms for Fractional Index
Sometimes, a particular term satisfying certain conditions is required in the binomial expansion of the type (1+x) n . This can be done by expanding (1+x) n to certain terms and then locating the required term. Generally this becomes a tedious task. In such c..
General Term for Positive Integral Index
General Term for Positive Integral Index is: For 0 r n, we have T r + 1 = n C r a n - r b r..
General Term for Positive Integral Index
For n N, we have . Let T r + 1 (0 r n) be the (r+1) t h term in the expansio..
Particular Terms for Positive Integral Index
Particular Terms for Positive Integral Index - Sometimes, a particular term satisfying certain conditions is required in the binomial expansion of the type (a + b) n . This can be done by expanding (a + b) n and then locating the required term. Generally..
Binomial Theorem for Fractional Index
Binomial Theorem for Fractional Index - For any rational number n, We accept this expansion without proof. The restriction on x is not required when n is a natural number. Now, we shall see that when n is a natural number, then the above expansion coincides with that as given ea..
Binomial Theorem for Fractional Index
>This is the same expansion as would have given by the binomial theorem for positive integral index..
Middle Terms for Positive Integral Index
Middle Terms for Positive Integral Index - The number of terms in the expansion of (a + b) n depends on the index n. The index n is either even or o..
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