SOLUTION: a) Simplify \[\frac{\binom{n}{k}}{\binom{n}{k - 1}}.\] B) For some positive integer n, the expansion of (1 + x)^n has three consecutive coefficients a,b,c that satisfy a:b:c =

Question 1164006: a) Simplify
\[\frac{\binom{n}{k}}{\binom{n}{k - 1}}.\]
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?

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

part (a)....

part (b)....

The problem tells us

Solve the pair of equations for k and n:

ANSWER: n = 23 (and k=3)

CHECK:

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