Exercises: Number Patterns and Sequences

Work through each section in order. Show your work where indicated. For arithmetic sequences, use the nth-term formula $a + (n-1)d$ .

Grade 7·18 problems·~30 min·Uganda NCDC Primary 7 Mathematics·lesson·patterns-03

Work through problems with immediate feedback

Fluency Practice

Is the sequence $2, 4, 8, 16, \ldots$ arithmetic or geometric?

Arithmetic — the terms keep increasing, so a fixed amount must be added each time.

Geometric — each term is multiplied by 2, so the ratio is constant.

Arithmetic — the first gap is 2, so the common difference must be 2 throughout.