Question

The average attendance of a certain fitness class that meets daily for the first four days is given as 4, 10, 16, and 22. Write a formula for the general term an which models the pattern.

a) aₙ = 2n + 2
b) aₙ = 6n - 2
c) aₙ = 4n
d) aₙ = 4n - 2

Answer 1

The correct formula for the general term modeling the attendance pattern is an = 6n - 2, based on the pattern of attendance increasing by 6 for each subsequent day.

Step-by-step explanation:

The question asks for a formula to model the pattern of attendance over the first four days, with the given attendances being 4, 10, 16, and 22. To find the correct formula for the general term an, we look for a pattern. The sequence increases by 6 every day starting on the second day, so we can express the nth term as six times the day number minus something. The first term, when n=1, is 4, so we can find the constant by calculating 6*1 - constant = 4, which gives us a constant of 2. Therefore, the correct formula that models the pattern is an = 6n - 2.