Answer
Given
$a_{n}$ = $a_{n - 1}$ - 12.
$a_{1}$, the first term = 24
$20^{th}$ term of sequence = -204
Work Step by Step
Given
$a_{n}$ = $a_{n - 1}$ - 12.
$a_{1}$, the first term = 24
$2^{nd}$ term of sequence = $a_{1}$ - 12 = 24 - 12 = 12
$3^{rd}$ term of sequence = $a_{2}$ - 12 = 12 - 12 = 0
$4^{th}$ term of sequence = $a_{3}$ - 12 = 0 - 12 = -12
$5^{th}$ term of sequence = $a_{4}$ - 12 = -12 - 12 = -24
$6^{th}$ term of sequence = $a_{5}$ - 12 = -24 - 12 = -36
$7^{th}$ term of sequence = $a_{6}$ - 12 = -36 - 12 = -48
$8^{th}$ term of sequence = $a_{7}$ - 12 = -48 - 12 = -60
$9^{th}$ term of sequence = $a_{8}$ - 12 = -60 - 12 = -72
$10^{th}$ term of sequence = $a_{9}$ - 12 = -72 - 12 = -84
$11^{th}$ term of sequence = $a_{10}$ - 12 = -84 - 12 = -96
$12^{th}$ term of sequence = $a_{11}$ - 12 = -96 - 12 = -108
$13^{th}$ term of sequence = $a_{12}$ - 12 = -108 - 12 = -120
$14^{th}$ term of sequence = $a_{13}$ - 12 = -120 - 12 = -132
$15^{th}$ term of sequence = $a_{14}$ - 12 = -132 - 12 = -144
$16^{th}$ term of sequence = $a_{15}$ - 12 = -144 - 12 = -156
$17^{th}$ term of sequence = $a_{16}$ - 12 = -156 - 12 = -168
$18^{th}$ term of sequence = $a_{17}$ - 12 = -168 - 12 = -180
$19^{th}$ term of sequence = $a_{18}$ - 12 = -180 - 12 = -192
$20^{th}$ term of sequence = $a_{19}$ - 12 = -192 - 12 = -204
