10
QuizMultiple Choice

Summation Properties and Rules — Quiz

Question 10 • Precalculus

Which expression is equivalent to this expression? the sum from n is equal to 1 to 35 of n

Answer
A
the fraction with numerator 35 times open paren 35 minus 1 close paren and denominator 2
B
open bracket the fraction with numerator 35 times open paren 35 plus 1 close paren and denominator 2 close bracket squared
C
the fraction with numerator 35 times open paren 35 plus 1 close paren and denominator 2
D
the fraction with numerator 35 open paren 35 plus 1 close paren open paren 2 point 3 5 plus 1 close paren and denominator 6

Explanation

The sum from n = 1 to 35 adds the integers 1 through 35. Use the formula for the sum of the first n positive integers: n(n + 1)/2. Substituting 35 gives 35(35 + 1)/2, which is choice B.

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