Paper 1 · Algebra
Lesson 23 of 23
Algebra 23 – Iterative equations
You’ll learn
- Read recurrence notation: Uₙ, Uₙ₊₁, Uₙ₊₂ as consecutive terms
- Verify a closed form Uₙ satisfies a recurrence using aⁿ⁺ᵏ = aⁿ·aᵏ
- Collect 3ⁿ and 2ⁿ as separate like terms — never merge the bases
- Find a term like U₆ by iterating the recurrence from the starting values
Formula used
First rule of powers
aᵖ⁺ᵍ = aᵖ · aᵍ
On page 21 of the log tables — read it off, don’t memorise.💬 Stuck on something in this lesson?
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