state the number of terms in the expansion of ( )7 and give the first and last terms.

A sentence is called a statement if it can be adjudged as true or false. Every statement is a sentence, but a sentence may or may not be a statement. A statement involving natural number n is generally denoted by P(n). Principle of mathematical induction states that ..

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 ted..

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 become..

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..

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..

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 expansion..

Method of writing expansion for (a+b) n - Method of writing expansion for (a+b) n The first term in the expansion of (a + b) n is n C 0 a n b 0 . For the second term, the coefficient is taken as n C 1 , the power of 'a' is decreased by one..

Let a=first term, d = common difference, l=t n =last term, s = required sum. Then, Writing the series in the reverse order, Adding together the two series, ..

Question: The first term of an AP is 73, common difference is -7. If the last term of the AP is -95, find the number of terms. Answer: Hence, the number of terms is 25..