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(a) Simplify (n/k)/(n/(k - 1))

 

(b) For some positive integer n, the expansion of (1 + x)^n has three consecutive coefficients a, b, c that satisfy 1:8:28.   What must n be?

 

\(\phantom{1:8:40}\)

 Jan 15, 2023
 #1
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The answer for (b) is 8, because 8 choose 0,1,2 are 1,8, and 28

 Jan 16, 2023
 #2
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What about 1:2:3?  What about 2:3:4?

 

Other numbers:

2:5:7

10:11:12

13:14:15:

2:5:8

1:8:40

1:3:5

2:12:17

3:10:19

 Jan 18, 2023

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