Greneral term#!#Coefficient of nth term

In the expansion of (1+x)^(20), if ratio of nth term coefficient and (n+1)^(th) term coefficient is 1:2, then find the value of n.

Show that a sequence is an Adot P .if its nth term is a linear expression in n and in such a case the common difference is equal to the coefficient of n .

Middle term || Ratio OF terms || Total no. OF terms || Greatest coefficient || (r+1)th term from beginning and End and Illustration

Show that the sequence is an A.P.if its nth term is linear expression in n and in such a case the common difference is equal to the coefficient of n.

Show that a sequence is an A.P.if its nth term is a linear expression in n and in such a case the common difference is equal to the coefficient of n.

In a binomial expansion if the coefficients of two successive terms are equal,show that the coefficients of terms just preceding and succeding these terms are also equal.

Terms and Coefficients of polynomial

Third term of the sequence whose nth term is 2n+5 is ____.

If the 10 th term of an A.P.is 21 and the sum of its first ten terms is 120, find its nth term.