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Galen can reach up to a height of 1.87 meters while standing flat on the ground. His father can reach a height of 2.56 meters. H
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Using a geometric series, it is found that he swims 1897 yards in the first week.
In a geometric series, the quotient between consecutive terms is always the same, and it is called common ratio q.
The general equation of a geometric series is given by:
In which is the first term.
The sum of the first n terms is given by:
In this problem:
- 200 yards on the first day, thus
.
- Each day, the distance increases by 10%, since 100% + 10% = 110% = 1.1,
.
- First week is first 7 days, thus
Then:
He swims 1897 yards in the first week.
A similar problem is given at brainly.com/question/23711475