A sequence can be generated by using the equation shown, where a1 = 12 and n is a whole number greater than 1.
an = 1.5 + a(n-1)
What are the first four terms in the sequence?
A.) 12 13.5 16 19.5
B.) 12 13.5 15 16.5
C.) 12 13.5 16.5 21
D.) 12 13.5 15.5 18
In order to find the first four terms in the sequence, we can use the given equation to generate each term.
a1 = 12
a2 = 1.5 + a1 = 1.5 + 12 = 13.5
a3 = 1.5 + a2 = 1.5 + 13.5 = 15
a4 = 1.5 + a3 = 1.5 + 15 = 16.5
Therefore, the first four terms in the sequence are 12, 13.5, 15, and 16.5. Option B) 12, 13.5, 15, 16.5 is the correct answer.