What is the recursive rule and explicit rule for -3 12 -48 192?

Answer 1

Each number is -4 times the previous one. That means that you can write a recursive rule as:

f(1) = -3

f(n) = -4 * f(n-1)

The explicit rule involves powers of -4; you can write it as:

f(n) = -3 * (-4)^(n-1)