20 POINTS PLUS BRAINLIEST!! PLEASE HELP!

Write the first 4 terms of the sequence if a(4)=36 and a(n)=1/2a(n-1)+12.

A.
36, 30, 27, 25.5
B.
120, 72, 48, 36
C.
456, 216, 96, 36
D.
36, 48, 72, 120

Respuesta :

first 4 terms of the sequence if a(4)=36 and a(n)=1/2a(n-1)+12

a(n)=1/2a(n-1)+12.
a(1)= 120
a(2) =
1/2 (a1) +12 = 1/2 (120) + 12 = 60+ 12 = 72
a(3) =1/2 (a2) +12 = 1/2 (72) + 12 =  36 12 = 48
a(4) =1/2 (a3) +12 = 1/2 (48) + 12 = 24 + 12 = 36

answer is
B.
120, 72, 48, 36