Arthi decides to save money every week

MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series

Problem

Arthi decides to save money every week. She saves ₹150 in the first week and increases her saving by ₹25 each subsequent week. She continues this pattern until the amount she puts aside in a week first reaches ₹1,000. (i) For how many weeks does Arthi save? (ii) Find the total amount she has saved at the end of these weeks. (iii) If Arthi saves one more week following the same pattern, determine her new total savings.

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