Answer:
146
Step-by-step explanation:
Given
460,451,442
Required
Find the 37th term:
The given sequence is arithmetic where
[tex]a = 460[/tex] -- first term
[tex]d = 451- 460 = -9\\[/tex] --- common distance
The nth term is:
[tex]T_n = a + (n-1)d[/tex]
So:
[tex]T_{37} = 460 + (37-1)*-9[/tex]
[tex]T_{37} = 460 + 36*-9[/tex]
[tex]T_{37} = 136[/tex]
