examples for finding the general term

The General Term for Fractional Index is:..

For n Q and |x|<1, we have ...

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..

1. To find the sum of first n natural numbers. 2. To find the sum to squares of first n natural numbers. 3. To find the sum to the cubes of first n natural numbers. 4. Method of finding sum of a series whose nth term is know..

The carboxyl group and amino group are attached to the same carbon atom, hence amino acids are termed as -amino acids...

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. Gen..

The general form of the trinomial is (x 2 + cx + d) where c and d have different numerical values: c = a + b, and d = ab. In these examples, study the relation between the middle and the last terms. Therefore, to factorise expressions of the type (x 2 + cx + d), ..

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 this..

We observe that the index of r on the right hand side is one less than the suffix of t on the left hand side in each of the equalities. Hence t n = ar n - 1 which is the general term of the given G..