(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.
(a)
answer see: https://web2.0calc.com/questions/help_73560#r1
(b)
answer see: https://web2.0calc.com/questions/help_73560#r2