Answer :
The numbers that Oliver named are 59 in total.
If he named 1 number, the last number that he called would be 15
If he named 2 numbers, still the last number that he called would be 15 + 6 = 21
If he named 3 numbers, the last number that he called would be 15 + 6 + 6 = 27
If he named 4 numbers, the last number that he called would be 15 + 6 + 6 + 6 which is 15 + 6(4 - 1)
So, if he named n numbers, the last number that he named would be 15 + 6(n - 1)
According to the data given in the question, the last number he called was 363.
So, we can say,
363 = 15 + 6(n - 1), Subtract 15 on both sides.
348 = 6(n - 1), Divide both sides with 6.
58 = n - 1, now, Add 1 to both sides,
we get.,
59 = n
Hence, Oliver has named 59 numbers.
Learn more about Arithmetic progression:
https://brainly.com/question/24191546
#SPJ4
