Answer:
a₆ = 972
Step-by-step explanation:
Is it correct?
a₄ = 3a₃ = 3 × 36 = 108
a₅ = 3a₄ = 3 × 108 = 324
a₆ = 3a₅ = 3 × 324 = 972
Remark
You could do this two ways: one with a formula and one without. I'll do it both ways.
With Formula
a_n = 4 * 3^(n - 1)
a_6 = 4 * 3^(5)
a_6 = 4 * 243
a_6 = 972
Without
a1 = 4
a2 = 4 * 3^(2 - 1)
a2 = 4 * 3
a2 = 12
a3 = 3* a_n-1
a3 = 3 * 12
a3 = 36
a4 = 3*a_3
a4 = 3*36
a4 = 108
a5 = 3 * a_(n - 4)
a5 = 3 * 108
a5 = 324
a6 = 3 * 324
a6 = 972 which is the same answer you got by using a formula
