Answer:
the first term is 67
Step-by-step explanation:
A finite arithmetic sequence has 12 terms. The last term Is 100 and the common difference is 3.
the formula for nth term is
[tex]a_n = a_1 +(n-1)d[/tex]
Equation for 12th term is
[tex]a_{12} = a_1 +(12-1)d[/tex]
a_12 is the last term, a1 is the first term and d is the common difference
a12= 100, d= 3
[tex]100 = a_1 +(11)3[/tex]
[tex]100 = a_1 +33[/tex]
Subtract 33 from both sides
a_1= 67
So the first term is 67
