Applications of Arithmetic Progressions
Interactive practice questions
A diving vessel descends below the surface of the water at a constant rate so that the depth of the vessel after $4$4 minutes, $8$8 minutes and $12$12 minutes is $5$5 metres, $10$10 metres and $15$15 metres respectively.
If $n$n is the number of minutes it takes to reach a depth of $40$40 metres, solve for $n$n.
Tobias starts his career with a monthly wage of $£3500$£3500. At the beginning of each year that follows he receives a raise and his monthly wage for that year will be $£160$£160 greater than the previous year.
A termite treatment will cost $£250$£250 for the first half hour, $£245$£245 for the second half hour, $£240$£240 for the third half hour and so on.
What will be the cost of a treatment that takes $6$6 hours?
A paver needs to pave a floor with an area of $800$800 square metres. He can pave $50$50 square metres a day.