5
QuizMultiple Choice

Summation Properties and Rules — Quiz

Question 5 • Precalculus

Which expression is equivalent to this expression? the sum from n is equal to 10 to 15 of open paren n plus 3 over n close paren

Answer
A
the sum from n is equal to 10 to 15 of n plus the sum from n is equal to 10 to 15 of 3 divided by the sum from n is equal to 10 to 15 of n
B
3 over n the sum from n is equal to 10 to 15 of n
C
n the sum from n is equal to 10 to 15 of 3 over n
D
the sum from n is equal to 10 to 15 of n plus the sum from n is equal to 10 to 15 of 3 over n

Explanation

Use the sum rule that the sum of two terms equals the sum of each term separately: ∑(n + 3/n) = ∑n + ∑(3/n), with both sums running from n = 10 to 15. This matches choice D, which adds the sum of n to the sum of 3/n.

AI-written and checked against the verified answer.

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