Olympiad Maths Prep

Track / Stage 4 / 199 of 340 #459 of 2000

Problem 459

AMC 12 late, AIME early
Number theory Difficulty 4.8 Find the answer

## Task 5

Which number would you write in the box? Justify!

2,4,6,,10,12 2,4,6, \square, 10,12

Official solution

The number 8 is to be placed at this position because each subsequent number is derived from the preceding number by adding 2.

### 10.24 26th Olympiad 1988

### 10.24.1 1st Round 1988, Class 1

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