Answer to Question #313877 in Math for Fish

Question

a machine starts production of matchboxes at the rate of 12000 per hour. The rate of production decreases by 40% every hour. Calculate the total nimber of matchboxes produced in first 2 hours

Is it an arithmetic progression or geometric progression??

Answer 1

In the first hour produced $12000$ units.

In the second hour produced $12000(1-0.4)=7200$ units.

The total number of matchboxes produced in first 2 hours: $12000+7200=19200$ .

This is a geometric progression with $a_1=12000, r=0.6.$