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Proof by induction

Prove statements about series, divisibility and inequalities using mathematical induction.

5th Year6th Year Higher
Helps to know first: Arithmetic sequences and series
15practice questions

Match the pairs: 1 · Multiple choice: 6 · Numeric answer: 1 · Put in order: 2 · Written answer (self/teacher assessed): 5

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Numeric answerPaper 1 – Algebra
The formula 1² + 2² + … + n² = n(n + 1)(2n + 1)/6 is proved by induction. Use it to find 1² + 2² + … + 6².
Whole numbers, decimals (2.5) or fractions (3/4).
Hint 1

Substitute n = 6 into the formula.

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