The first 3 terms of the sequence are 202, 198, 194
Since 198 - 202 = -4
Since 194 - 198 = -4, then
The sequence is Arithmetic and decreases by 4
The rule of the arithmetic sequence is
[tex]a_n=a+(n-1)d[/tex]a is the first term
d is the common difference
n is the position of the term
Since the first term is 202, then
a = 202
Since the common difference is -4, then
d = -4
Since we need to find the 37th term, then
n = 37
Substitute them in the rule above
[tex]\begin{gathered} a_{37}=202+(37-1)(-4) \\ a_{37}=202+(36)(-4) \\ a_{37}=202-144 \\ a_{37}=58_{} \end{gathered}[/tex]The 37th term is 58
