Answer:
See explanation
Step-by-step explanation:
We can see that the sequence is 90, 86,82,.......
The common difference is 86 - 90 = -4
82 - 86 = -4
Hence the sequence is arithmetic
The function is;
t(n) = 90 + (n - 1)(-4) = 90 + 4 - 4n
t(n) = 94 - 4n
Since it is AP, we have the sequence as;
90, 86, 82, 78, 74, 70, 66, 62......
He will no longer play football after the eighth quiz.
The total points earned is the sum of the first eight terms of the AP
Sn =n/2[2a + (n - 1) d]
Sn = 8/2[2(90) + (8 - 1) (-4)]
Sn = 608 points
