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Printjmc
algebra intermediate
Problem
What is the value of the arithmetic series ?
Solution
The common difference is 2, so the term in the sequence is . If , then , so the sequence contains 30 terms.
The sum of an arithmetic series is equal to the average of the first and last term, multiplied by the number of terms, so the sum is .
The sum of an arithmetic series is equal to the average of the first and last term, multiplied by the number of terms, so the sum is .
Final answer
1710