Ask your own question, for FREE!
Mathematics 14 Online
princeevee:

Akim runs 1.75 miles on his first day of training for a road race. The next day, he increases his distance run by 0.25 miles. The day after that, he increases his distance run by another 0.25 miles, and so on. What is the total number of miles Akim runs over the course of 18 days?

princeevee:

@Hero

princeevee:

68.5 mi 69.75 mi 70.25 mi 72.5 mi

Hero:

So @princeevee, how many miles did Akim run on the 1st day?

princeevee:

1.75

Hero:

And how many miles did he run on the second day?

princeevee:

3.5?

princeevee:

wait

princeevee:

2

Hero:

1st Day | 1.75 2nd Day | 1.75 + 0.25(1) 3rd Day | 1.75 + 0.25(2) 4th Day | 1.75 + 0.25(3) nth Day | 1.75 + 0.25(?)

Hero:

@Princeevee, observe the pattern

princeevee:

so i add 2 for 18 days?

Hero:

If you observe the pattern, you'll notic that the formula for the nth day is \(1.75 + 0.25(n - 1)\)

princeevee:

oh

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!