Question

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

***PLEASE HELP**

Answer 1

`a_n_+_1=-4a_n_+_2`

dividing both sides by -4, we get:


`a_n_+_2=- (a_n_+_1)/(4)`

this means, each term is its previous term divided by -4.

now we can construct the sequence as follows:


`a_1=2`


`a_2=- (a_1)/(4)= - (2)/(4)= -(1)/(2)`


`a_3=- (a_2)/(4) =- ( (1)/(2) )/(4)=- (1)/(8)`


`a_4=- (a_3)/(4)=- ( (1)/(8) )/(4)=- (1)/(32)`



Answer: the last term is -1/32