3
QuizMultiple Choice

Arithmetic Series — Quiz

Question 3 • Precalculus

Which of the following represents the value of the series? cap s sub 28 is equal to the sum from k is equal to 1 to 28 of open paren 9 minus 4 close paren

Answer
A
cap s sub 28 is equal to 28 times open paren the fraction with numerator 248 minus 5 and denominator 2 close paren
B
cap s sub 28 is equal to open paren 9 times 28 minus 4 close paren plus open paren 9 times 1 minus 4 close paren
C
cap s sub 28 is equal to 28 times open paren 5 plus 248 close paren
D
cap s sub 28 is equal to 28 times open paren the fraction with numerator 5 plus 248 and denominator 2 close paren

Explanation

The summand is the arithmetic sequence 9k − 4. Its first term is 9(1) − 4 = 5, and its 28th term is 9(28) − 4 = 248. The sum is the number of terms times the average of the first and last terms: 28(5 + 248)/2, which is choice D.

AI-written and checked against the verified answer.

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