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QuizMultiple Choice

Arithmetic Series — Quiz

Question 1 • Precalculus

An arithmetic series contains 20 numbers. The first number is 102 The last number is 159 Which expression represents the sum of the series?

Answer
A
20 times open paren the fraction with numerator 159 minus 102 and denominator 2 close paren
B
20 times open paren 102 plus 159 close paren
C
20 times open paren 159 minus 102 close paren
D
20 times open paren the fraction with numerator 102 plus 159 and denominator 2 close paren

Explanation

For an arithmetic series, the sum equals the number of terms times the average of the first and last terms. The average is (102 + 159) / 2, so the sum is 20 × ((102 + 159) / 2). This is choice D.

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