To find any term in an arithmetic sequence, use the nth term formula: \(T_n = a + (n-1)d\), where a = first term, d = common difference, n = term number. Given: a = 7, d = 4, n = 10. Substitution: \(T_{10} = 7 + (10-1) \times 4\). Calculation: \(T_{10} = 7 + 9 \times 4 = 7 + 36 = 43\). The 10th term is 43. Alternative method (longer but helps understanding): Write out the sequence: 7, 11, 15, 19, 23, 27, 31, 35, 39, 43. Count to verify the 10th term is indeed 43. In ECZ exams, the nth term formula is essential and must be memorized. It appears in various forms: finding a specific term, finding which term has a certain value, or finding the first term or common difference when other information is given. Paper 2 often includes word problems where you must first translate the situation into arithmetic sequence notation.

Break down complex topics into smaller, manageable chunks for easier recall.

Zambia

• Naomi Miselo – 31 pts

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