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

1 answer

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.