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Damm [24]
3 years ago
9

Eli runs 2 miles on his first day of training for a road race. The next day, he increases his distance run by 0.25 miles. The da

y after that, he increases his distance run by another 0.25 miles, and so on. What is the total number of miles Eli runs over the course of 12 days?
Mathematics
2 answers:
anyanavicka [17]3 years ago
8 0

Answer: Number of miles he runs for 12 days is 40.5 miles.

Step-by-step explanation:

Since we have given that

Number of miles Eli run on his first day = 2 miles

Next day, he increases his distance run by 0.25 miles.

Number of miles Eli run on his second day = 2+0.25 = 2.25 miles

Number of miles Eli run on his third day = 2.25+0.25 = 2.5 miles

So, it becomes an arithmetic progression:

2,2.25,2.5,....

Number of days he runs for = 12 days

So, Total number of miles he runs over the course of 12 days is given by

S_{12}=\frac{12}{2}(2a+(n-1)d)\\\\S_{12}=\frac{12}{2}(2\times 2+(12-1)0.25)\\\\S_{12}=6(4+11\times 0.25)\\\\S_{12}=6(6.75)\\\\S_{12}=40.5\ miles

Hence, Number of miles he runs for 12 days is 40.5 miles.

ivanzaharov [21]3 years ago
6 0
S_{n} = \frac{ a_{1(1- r^{n}) } }{1-r}
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