Special Sequences help?

Question

1. Find the 4th term if the sequence in which a1 = 2 and an+1 = -4an + 2.

I keep getting -128 as the answer. This is my work.

a1 = 2
a2 = -8 + 2 = -6
a3 = -32 + 2 = - 30
a4 = -120 + 2 = -128

 

Please help! Thank you so much!

Answer 1

Hi Kennedy

 

The first two are correct. Then it should be

a3 = 24 + 2 = 26   (since -4 * -6 = 24)

a4 = -104 + 2 = -102   (since -4 * 26 = -104)