general term referring

The flower arise in the axil of a branch (a reduced leaf) and the inflorescence axis or if solitary, in the axil of a leaf and the stem. The following terms are used to refer the two halves of the flower in relation to the axis and the bract. The axis side half of the flowers i..

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

General Term for Positive Integral Index is: For 0 r n, we have T r + 1 = n C r a n - r b r..

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..

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..

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..

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..

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), we have to..

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..