how that the coefficient of (r+1) th in the expansion of `(1+x)^(n+1)` is equal to the sum of the coefficients of the r th and (r+1) th term in the expansion of `(1+x)^n`

prove that the coefficient of the (r +1)th term in the expansion of (1+x)^(n) is equal to the sum of the coefficients of the rth and (r+1)th terms in the expansion of (1+x)^(n-1)

What is the coefficient of the (r+1)^(th) term in the expansion of (1+x)^n ?

What are the coefficients of (2r+1)^(th) and (r+2)^(th) terms in the expansion of (1+x)^43 ?

If the coefficient of (r +1)^(th) term in the expansion of (1 +x)^(2n) be equal to that of (r + 3)^(th) term , then

If the coefficient of p^(th) term in the expansion of (1+x)^(n) is p and the coefficient of (p+1)^(th) term is q then n=

If the coefficients of r^(th) and (r+1)^(th) term in the expansion of (1+x)^(n) are equal then n=

If the coefficients of (r-5)th and (2r-1)th terms in the expansion of (1+x)^(34) are equal, find r.