What is the nth term of a geometric sequence that has a common ratio of 6 and 24 as the third term

The common ratio r is 6, while the third term (ar²) is 24.

Nth term in a GP is given by the formula ar^n-1, thus the third term is ar²

ar² = 24

thus, a * 36 = 24

a = 24/36

The ninth term is given by ar^8

= (24/36) * 6^8

= 1119744.