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Arithmetic Progression

High trendapprox. 5 marksSections A/B/C/D — a 1-mark nth-term or common-difference MCQ, plus a 3–5 mark sum or word problem.
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formulae · proofs · mind-map — one view
Learn the 4 conceptsteach yourself first, then practise each
Common difference d = aₙ − aₙ₋₁ (test for an AP)1–2 marks Visual

Confirm a list is an AP and read off a and d before anything else.

nth term aₙ = a + (n−1)d1–3 marks Visual

Find any term, the number of terms, or set up an equation from a given term.

Sum of first n terms Sₙ = n/2[2a + (n−1)d]2–5 marks Visual

Total the first n terms straight from a, d and n.

Sum with last term Sₙ = n/2(a + l)2–3 marks Visual

Add terms quickly when the last term l is known instead of d.

When you’re ready — practise or test the whole topic