Edexcel Mathematics June 2024 · Paper 2 · Question 2 · ExamRizz

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June 2024 · Paper 2 · Question 2 · 5 marks

2. Jamie takes out an interest‑free loan of £8100 Jamie makes a paymen t every month to pay back the loan. Jamie repays £400 in month 1, £390 in month 2, £380 in month 3, and so on, so that the amounts repaid each month form an arithmetic sequence. (a) Show that Jamie repays £290 in month 12 (1) After Jamie’s Nth payment, the loan is completely paid back. (b) Show that N2 – 81N + 1620 = 0 (2) (c) Hence find the value of N . (2) 5

Lesson: Binomial Expansion for Positive Integer n