Question

Find the 4th term in the sequence with the following definition: a1 = 0 an = 2(an-1 -3)

Answer 1

Answer:

-42

Step-by-step explanation:

$a_{1}=0\\a_{n}=2(a_{n-1}-3)\\a_{2}=2(a_{1}-3)=2(0-3)=-6\\a_{3}=2(a_{2}-3)=2(-6-3)=-18\\a_{4}=2(a_{3}-3)=2(-18-3)=-42$