A student decides to save money according to an arithmetic pattern

MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series

Problem

A student decides to save money according to an arithmetic pattern. On the 5th day the amount saved is ₹28, and on the 12th day it is ₹49. (a) Find the amount saved on the first day and the daily increment in the saving. (b) How much will the student save on the 20th day? (c) Calculate the total amount saved during the first 20 days. Will this total exceed ₹1,000? Justify your answer with calculation.

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