(a) Simplify \(\frac{\binom{n}{k}}{\binom{n}{k - 1}}\)
(b) In the expansion of \((1 + x)^n\) there exist three consecutive coefficients \(a,b,c\) that satisfy \(a:b:c = 1:7:35\). Find the positive integer \(n\).
Thank youuuu!
a) Note that a combination is n!/(r)!*(n-4)!
We can write the equation in this form, and then simplify.
Hope this helped!