how about summing up to 52 instead of 51 since you would start running for 4 miles at week 0 and each week increase the distance by 0.5 miles, would this be correct?
can someone help out?
Fiona is training to run a marathon in New York City next year. Each week she increases the distance she runs by 0.5 mile. If she initially started running a 4-mile route, what will be the total number of miles she will run in 52 weeks of training?
this is what i got:
Is it right? We didn't learn how to do this yet so could you show me the process?
Solan, I'm not sure. What I was thinking is that we should rewrite the series so it would start at . The upper limit, as a result, would have to be 53. The term in the series would then be . So at week 0 , she runs 4 miles. At week 2 , she runs 4.5 miles...so on and so forth...
To find out how far she ran in 52 weeks, sum up all the values:
Now, Evaluate the sum:
.
Thus, she runs a total of 901 miles in 52 weeks.