Answer to Question #108438 in Algebra for hi

Question

Resolving to read more each week, Drew starts a new reading program and promises to read 10 minutes the first week, 20 minutes the second, 30 minutes the third, and so on.
How much time will Drew spend reading during the 12th week?
After one year, how much time did Drew spend reading?

Answer 1

During n-th week Drew spend 10*n minutes reading.

During 12th week = 10 * 12 = 120 minutes.

Year has 52 weeks. After one year Drew spend reading

$\quad \displaystyle\sum_{n=1}^{52} 10*n = 10 * \dfrac{(1+52)*52}{2} = 13,780 \text{ minutes} \approx 230 \text{ hours}$