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hi everyone, i need help on this problem

 

(a) Simplify

 

\[\dfrac{\dbinom{n}{k}}{\dbinom{n}{k - 1}}.\]


(b) For some positive integer $n,$ the expansion of $(1 + x)^n$ has three consecutive coefficients $a,$ $b,$ $c$ that satisfy $a:b:c = 1:7:35.$ What must $n,$  be?

 Jul 20, 2021
 #1
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 Jul 21, 2021
edited by heureka  Jul 21, 2021

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