Three Coefficients in Progression

★ 5/10combinatorics Arithmetic Progression Diophantine Equations number theory Binomial Theorem

Problem

In the expansion of $(a+b)^n$ , some three consecutive binomial coefficients form an arithmetic progression. Find the largest three-digit positive integer $n$ for which this happens.

Answer

Solution

Difficulty	5/10
Topics	combinatorics, Arithmetic Progression, Diophantine Equations, number theory, Binomial Theorem

Whiteboard

Your sketch is saved only in this browser. To share it, export your drawing as an image (whiteboard menu → Export as → PNG), then upload that image in the comments below.

Discussion

Ask questions, share alternate solutions, and use LaTeX freely.

0 comments

No comments yet.