Answer
a) 1,-2,4,-8
b) 3,3,3,3
c) 8,11,23,71
d) 2,0,8,0
Work Step by Step
a) Given: $(-2)^n$
Here, $a_0=(-2)^0=1; a_1=(-2)^1=-2;a_2=(-2)^2=4;a_3=(-2)^3=-8$
b) Since, the constant expression contains no $n$ variable, then we have $a_0=3; a_1=3;a_2=3;a_3=3$
c) Given: $7+4^n$
$a_0=7+4^0=8; a_1=7+4^1=11;a_2=7+4^2=23;a_3=7+4^3=71$
d) Given: $2^n+(-2)^n$
Here, we have
$a_0=2^0+(-2)^0=2; a_1=2^1+(-2)^1=0;a_2=2^2+(-2)^2=8;a_3=2^3+(-2)^3=0$
