A student decides to reduce the time spent on social media by following a fixed pattern

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

Problem

A student decides to reduce the time spent on social media by following a fixed pattern. On the first day she spends 180 minutes online. Each next day she shortens the time by 8 minutes. (i) Write the time spent on each of the first five days. (ii) State the common difference of the resulting sequence. (iii) Determine the time she will spend online on the 20th day. (iv) Calculate the total time she will spend online during the first 20 days.

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