A mason is paid on a daily-wage scheme in which his earnings form an arithmetic…
MATHEMATICS · Multi-part · GCSE · Further Mathematics · Sequences and Series · Sequences and Series
Problem
A mason is paid on a daily-wage scheme in which his earnings form an arithmetic progression. On the first day he is paid ₹400, and each subsequent day his wage increases by ₹20.
(i) Using summation notation, express the total earnings of the mason for the first 30 working days.
(ii) Calculate the total amount he earns in these 30 days.
(iii) The mason wants his cumulative earnings to reach at least ₹10,000. Determine the minimum number of complete working days required for this to happen.