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Practice

Extend an arithmetic sequence

What number comes next: 7, 11, 15, 19, ...?

Constant-difference test

The +4 rule survives every shown transition

Proposed ruleAdd 4 to the previous term
  1. 7+411Fits
  2. 11+415Fits
  3. 15+419Fits

ConclusionOne more application gives 19 + 4 = 23.

A reliable extension uses one precise rule and checks every adjacent pair before producing the next term.