-3, 12, -48, ... Write the explicit and recursive formulas for the geometric sequence. Use your explicit formula to calculate the 6th term in the sequence.

2 answers

looks like you are multiplying the current term by -4 to get the next term

Now translate "multiplying the current term by -4 to get the next term" into a recursive formula

for the explicit,
a = -3
r = -4
term(n) = a r^(n-1)
= -3(4)^(n-1)
term(6 ) = .....
the common ratio is -4

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