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?

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

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.

Have  a nice day

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.