Track / Stage 4 / 123 of 340 #383 of 2000

Problem 383

AMC 12 late, AIME early

Number theory Difficulty 4.8 Find the answer

Shapovalov A.V. A sequence of several natural numbers is written, with a sum of 20. No number and no sum of several consecutive numbers equals 3. Could there be more than 10 numbers written?

Your answer

Official solution

Example with 11 numbers: $1,1,4,1,1,4,1,1,4,1,1$ .

## Answer

It could.

Send a comment

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.