First, find the common difference using the arithmetic sequence formula:
[tex]a _{n} = a _{1} + (n-1) (d)[/tex]
Where:
[tex]a _{n} [/tex] = last term ⇒ 100
[tex]a _{1} [/tex] = first term ⇒ 8
d = common difference (difference between any consecutive terms in the the sequence)
100 = 8 + (5-1)(d)
100 = 8 + 4(d)
100 - 8 = 4d
92 = 4d
4d/4 = 92/4
d = 23
The five terms are:
1st = 8
2nd = 8 + 23 = 31
3rd: 32 + 23 = 54
4th: 54 + 23 = 77
5th: 77 + 23 = 100
The 5 terms in the sequence are:
8, 31, 54, 77, 100
