Mercedes rides her bike 10 miles in the first week. She increases the distance she rides by 2 miles each week.

How many miles will she ride over the course of 8 weeks?

jbouyer Mar 1, 2018

#2**+2 **

Mercedes rides her bike 10 miles in the first week. She increases the distance she rides by 2 miles each week.

How many miles will she ride over the course of 8 weeks?

Sum them all up as an Arithmetic Series:

Sum =N/2 [2F + (N - 1)*D]

Sum =8/2 [2*10 + (8 - 1)*2]

Sum =4 [20 + (7*2)]

Sum =4 [20 + 14]

Sum =4 x 34

Sum = 136 miles - that Mercedes will ride over 8 weeks.

Guest Mar 1, 2018

edited by
Guest
Mar 1, 2018