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

Question

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

 

Answer 1

the sequence is 2,

-4(2) + 2 = -6,

 -4(-6) + 2 = 26,  

-4(26) + 2 = -102, using the rule, which translate into

-4 times prior term, then add 2.

 

So 4th term is     negative 102.