Asked by iris
peter took a 1,500 mile trip in 5 days. each day, he drove 30 miles more than the day before. how many miles did he cover on the first day?
Answers
Answered by
Reiny
You have an arithmetic series,
where d = 30 , and Sum(5) = 1500 , a is first term
sum(n) = (n/2)(2a + (n-1)d)
1500 = (5/2)(2a + 120)
600 = 2a+120
2a=480
a = 240
On the first day he went 240 miles
check: 240 + 270 + 300 + 330 + 360 = 1500
where d = 30 , and Sum(5) = 1500 , a is first term
sum(n) = (n/2)(2a + (n-1)d)
1500 = (5/2)(2a + 120)
600 = 2a+120
2a=480
a = 240
On the first day he went 240 miles
check: 240 + 270 + 300 + 330 + 360 = 1500
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