Answer: 8 and
<u>Step-by-step explanation:</u>
x +
= 
need to eliminate the denominator:
x(8x) +
(8x) =
(8x)
8x² + 8 = 65x
8x² - 65x + 8 = 0
(8x -1)(x - 8) = 0
(8x -1) = 0 (x - 8) = 0
x =
x = 8
a1 = 54
a2 = (1/3)a1 = (1/3) * 54 = 18
a3 = (1/3)a2 = (1/3) * (1/3)a1 = 18/3 = 6
etc.

Fermat's little theorem states that

≡a mod p
If we divide both sides by a, then

≡1 mod p
=>

≡1 mod 17

≡1 mod 17
Rewrite

mod 17 as

mod 17
and apply Fermat's little theorem

mod 17
=>

mod 17
So we conclude that

≡1 mod 17