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(a) For some positive integer n, the expansion of (1 + x)^n has three consecutive coefficients a, b, c that satisfy a:b:c = 1:2:3.  What must n be?

 

(b) If a:b:c = 1:8:40 and a + b + c = 100, then what is a?

 
 Oct 29, 2023

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