index number theory

The General Term for Fractional Index is:..

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...

Introduction - We use specific number of digits to denote an exact value of a number for required accuracy. The digits used for such a purpose are called significant figure..

General Term for Fractional Index - For n Q and |x|<1, we have ...

Some particular expansions for Fractional Index - For n Q, we hav..

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 cases, we begin by evaluating the ..

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

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..

The number of terms in the expansion of (a + b) n depends on the index n. The index n is either even or od..

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 becomes a tedious task, specially when the index n is large. In such ..