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Answer:
The sum of the arithmetic sequence is .
Step-by-step explanation:
A sequence is a set of numbers that are in order.
In an arithmetic sequence the difference between one term and the next is a constant. In other words, we just add the same value each time infinitely.
If the first term of an arithmetic sequence is and the common difference is d, then the nth term of the sequence is given by:
For the sequence
The pattern is continued by adding -11 to the last number each time.
An arithmetic series is the sum of an arithmetic sequence. We find the sum by adding the first, and last term,
, divide by 2 in order to get the mean of the two values and then multiply by the number of values, <em>n</em>
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The sum of the arithmetic sequence is
For a non-resident:
For a resident:
We want to know the number of days such that the two costs are equal ie
To do this set the two costs equal to each other:
And solve for d:
The costs will be equal when a resident and a non-resident each use the beach for 12 days.