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

Question

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

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Answer 1 · 2018-07-30T03:51:23

Below

#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#