4
QuizMultiple Choice

Arithmetic Sequences and Series

Question 4 • EA Pre-Calculus Credit Recovery

At the 1998 Winter X-Games held in Crested Butte, Colorado, Jennie Waara, from Sweden, won the women’s snowboarding slope-style competition. Suppose that in one of the qualifying races, Ms. Waara traveled 5 feet in the first second, and the distance she traveled increased by 7 feet each subsequent second. If Ms. Waara reached the finish line in 15 seconds, how far did she travel?

Answer
A
646 feet
B
790 feet
C
766 feet
D
810 feet

Explanation

The distance traveled in each second forms an arithmetic sequence: 5 feet, 12 feet, 19 feet, and so on, increasing by 7 feet each second. In 15 seconds, the total distance is 15/2 × [2(5) + 14(7)] = 810 feet. So the correct choice is 810 feet.

AI-written and checked against the verified answer.

Previous
Next