Meena decides to save money every month in such a way that the amounts she deposits…
MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series
Problem
Meena decides to save money every month in such a way that the amounts she deposits form an arithmetic progression. She deposits Rs 1 200 in the first month and increases each month’s deposit by Rs 150.
(i) Obtain an expression for the amount deposited in the nth month.
(ii) In which month will her single monthly deposit first exceed Rs 3 000? Show all steps clearly.
(iii) Verify your answer in part (ii) by calculating the exact amount deposited in that month.