Question

The number of people that enter a contest the 1st day is 27. The 2nd day 31 people enter and 35 enter on the 3rd day. This pattern continues and the contest lasts 14 days.

What is the total number of people that enter the contest? Write the arithmetic series formula you used to determine the total number of people and show all the steps to find the solution

Answer 1

The answer to this question is 742

Answer 2

742

Explanation:

27 + 31 + 35 + ...

a = 27

d = 31 - 27 = 4

S14 = (14/2)[2(27) + (14-1)(4)]

= 7(54 + 52)

= 7(106)

= 742