a^1 + 3, a^2 = 12, a^3 = 48, and a^5 = 192 which formula can be used to fine a^n
To find a^n, we can use the formula:
a^n = (a^(n-1))^2
Applying this formula to the given values:
a^2 = 12,
we can find a^3:
a^3 = (a^2)^2 = 144.
Using a^3 = 144, we can find a^4:
a^4 = (a^3)^2 = 20736.
Using a^4 = 20736 and the given value a^5 = 192, we can find a^5:
a^5 = (a^4)^2 = 192.
Hence:
a^5 = (20736)^2 = 192.
Therefore, the formula to find a^n is a^n = (a^(n-1))^2.