Young Geniuses · Ages 13 to 14

Geometric vs Arithmetic Sequence Match

Classify sequences and match each to its rule. A Grade 8–9 sequences worksheet with answer keys.

Match WorksheetGrades sequences, classification, matching5 difficulty levels10 questions

The learning journey

Every activity is one step. Here is where this one fits.

  1. PlayLearn the idea in a game
  2. Practise(you are here)Lock it in on paper
  3. ReviewCome back and keep it sharp
  4. MasterTake on a harder challenge
  5. AchieveEarn a certificate

About Geometric vs Arithmetic Sequence Match

Geometric vs Arithmetic Sequence Match helps upper-secondary learners distinguish the two most important kinds of sequence: arithmetic sequences, where a constant amount is added each time, and geometric sequences, where each term is multiplied by a constant ratio. Down one side are sequences, and down the other their classification and rule; the student joins each sequence to the description that fits it. Recognising and classifying sequences is a core Grade 8 to 9 algebra expectation across the US, UK, Canada and Australia, and telling arithmetic from geometric is the foundation for finding nth-term rules, summing series and understanding exponential growth. The matching format keeps the practice active and lets students contrast the two types directly, sharpening the key question of whether consecutive terms differ by addition or by multiplication. The sequences are chosen so the pattern is clear and the rule is clean. Because the sequences change each time, the worksheet stays fresh and reusable, and the five levels vary the starting values and steps. Each page prints cleanly on a standard A4 sheet, and every level downloads with its own answer key giving the correct classification and rule for each sequence. There is no advertising and no sign-up.

Common questions

What is the difference?
Arithmetic sequences add a constant each time; geometric sequences multiply by a constant ratio.
What grade is this for?
Grade 8 to Grade 9 learners aged 13 to 14.
Is an answer key included?
Yes, every level gives the classification and rule for each sequence.

A hand for grown-ups

Before you start
Find a calm few minutes with no rush. Let your child know it is fine to find some of it tricky — that is what practice is for.
While they work
Sit nearby but let them lead. If they get stuck, ask "what could you try?" rather than giving the answer — the thinking is the point.
Afterwards
Ask them to show you one they found easy and one they found hard. Praise the effort on the hard one, not just the right answers.
Watch out for
Rushing. If answers come too fast and wrong, slow the pace down together rather than pushing for more.
Away from the screen
Look for the same maths in everyday life — counting stairs, sharing snacks, spotting shapes on a walk.

Chosen by the skills this activity practises.