find the first term of the arithmetic sequence in which a38= -5 and the common difference is -2.9

Answer:
102.3
Step-by-step explanation:
a_38 = -5
difference d= -2.9
We use general formula
[tex]a_n = a_1 + (n-1)d[/tex]
WE make the formula for a_38 th term
Plug in 38 for n
[tex]a_{38} = a_1 + (38-1)d[/tex]
Now plug in -2.9 for d and -5 for a_38
[tex]-5 = a_1 + (38-1)(-2.9)[/tex]
[tex]-5 = a_1 - 107.3[/tex]
Now add 107.3 on both sides
102.3 = a_1
option A is correct