MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series
Problem
Sonal decides to follow a weekly savings plan. She deposits Rs. 500 in the first week and increases her deposit by Rs. 20 every subsequent week.
Answer the following, taking Week 1 as the week in which she deposits Rs. 500.
(i) How much will Sonal deposit in Week 40?
(ii) Calculate the total amount Sonal will have saved at the end of Week 40.
(iii) Determine the minimum number of weeks Sonal must continue this plan so that her total savings reach at least Rs. 30000.