Answer:
-3, -7, -23, -87, and -343
Step-by-step explanation:
Here, we're given that the sequence is
, where n indicates the nth term and n - 1 indicates the (n - 1)th term.
, so if we want to find
, we can say n = 2 and n - 1 = 1:
![a_2=4a_{1}+5=4*(-3)+5=-12+5=-7](https://tex.z-dn.net/?f=a_2%3D4a_%7B1%7D%2B5%3D4%2A%28-3%29%2B5%3D-12%2B5%3D-7)
We continue to do this to find
and
:
![a_3=4a_{2}+5=4*(-7)+5=-28+5=-23](https://tex.z-dn.net/?f=a_3%3D4a_%7B2%7D%2B5%3D4%2A%28-7%29%2B5%3D-28%2B5%3D-23)
![a_4=4a_{3}+5=4*(-23)+5=-92+5=-87](https://tex.z-dn.net/?f=a_4%3D4a_%7B3%7D%2B5%3D4%2A%28-23%29%2B5%3D-92%2B5%3D-87)
![a_5=4a_{4}+5=4*(-87)+5=-348+5=-343](https://tex.z-dn.net/?f=a_5%3D4a_%7B4%7D%2B5%3D4%2A%28-87%29%2B5%3D-348%2B5%3D-343)
Thus, the first 5 terms in the sequence are:
-3, -7, -23, -87, and -343
Hope this helps!