For the sequence an 2an1 2 and a1 1 its first term is it

For the sequence a_n = 2(a_n-1 - 2) and a_1 = 1, its first term is ; its second term is ; its third term is its fourth term is ; its fifth term is.

Solution

first term is:a_1=        1

its first term is                                        1

Second term is:a_2=2(a_1-2)=2(1-2)=-2

its second term is             -2

Third term is: a_3=2(a_2-2)=2(-2-2)=-8

its third term is             -8

Fourth term is: a_4=2(a_3-2)=2(-8-2)=-20

its fourth term is                                     -20

Fifth term is:a_5=2(a_4-2)=2(-20-2)= -44

its fifth term is                                      -44