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Ryan ran 0.5 miles on july 1st. each day

thereafter, he ran 0.3 miles more than the
previous day. find the total number of
miles ran in the month of july.

User Malu
by
3.1k points

1 Answer

9 votes

Answer:

155 miles

Explanation:

The sum of n terms of an arithmetic series is given by the formula ...

Sn = (2·a1 +d(n -1))(n/2)

__

The number of miles Ryan ran in July is described by the arithmetic series ...

0.5 +0.8 +1.1 +... (a total of 31 terms)

The first term is a1=0.5, and the common difference is d=0.3.

The total number of miles Ryan ran in July is ...

S31 = (2(0.5) +0.3(31 -1))(31/2) = (1 +9)(31/2) = 155

Ryan ran 155 miles in July.

User Gliemezis
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