Starting to Explore Four Consecutive Numbers

Age 11 to 16
Challenge Level

This is the first problem in a set of three.  The other two are:

Continuing to Explore Four Consecutive Numbers and

Is There More to Discover About Four Consecutive Numbers?

This set of problems offers students the opportunity to explore, conjecture and use algebra to justify their findings.

This problem featured in the NRICH Secondary webinar in June 2022.

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
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