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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
 #1
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10 + 12 + 14 + 16 + 18 + 20 +22 + 24 =136 miles

ElectricPavlov  Mar 1, 2018
 #2
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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

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