How can I find the first 5 numbers of a the sequence knowing that A(n)= 1 and A(n+1)= 4A(n)-2 ?

Sorry if the formulas aren't very clear but everything that is between parentheses is supposed to be in subscript but I can't seem to find how to do it on this website. Thank you in advance

1 Answer
Jul 30, 2018

Below

Explanation:

A_n=1
A_(n+1)=4A_n-2

Therefore, if you want the first 5 numbers, then you want to find A_1, A_2, A_3, A_4 "and" A_5

A_1=1

A_2=4A_1-2
A_2=4times1-2
A_2=2

A_3=4A_2-2
A_3=4times2-2
A_3=6

A_4=4A_3-2
A_4=4times6-2
A_4=22

A_5=4A_4-2
A_5=4times22-2
A_5=86