Verified answer

PROBLEM

Lydia learned of an upcoming marathon. To prepare for this she planned to run for a week. She decided to run 2 km on the frst day and constantly increase the number of km to run each day. If she has run 5 km on the last day, by how much does she have to increase the number of km she has to run everyday?

ANSWER

Lydia increased ½km or 0.5km in her practice run everyday for a week.

GIVEN

where:

a_{1} = distance ran on the first day

a_{n} = distance ran on the last day

n = number of days ran

d = distance that is increased each day

SOLUTION

Since the given problem go through a pattern of constantly increasing the distance ran everyday for a week, it will be the same as an Arithmetic Sequence. Hence, we can use the Arithmetic Sequence Formula to get the distance to be added every run practice for each day in a week, which is the common difference.

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