Step-by-step explanation:
STEP 1 : determine whether the sequence is arithmetic or quadratic - so you can know what formula to use
[tex]the \: sequence \: is \: arithmetic \: \\ 345 - 352 = - 7 \: and \: 352 - 359 = - 7 \\ [/tex]
STEP 2 : fill in the arithmetic formula so you can use the formula to find the 38th term
[tex]tn = a + (n - 1)d \\a = first \: term \\ d = the \: difference \\ n = the \: position \: of \: the \: nth \: term[/tex]
[tex]tn = 359 + (n - 1)( - 7)[/tex]
- so this is the formula you use to find the nth term which is 38
[tex]t38 = 359 + (38 - 1) \times ( - 7) \\ t38= 100[/tex]
so the answer is 100
hope this helps!
