Question

The nth term of a sequence is given by 3n^2/2 . What are the first three terms of the sequence?

a. 1.5, 6, 13.5
b. 3, 12, 27
c. 6, 24, 54
d. 9, 18, 27

Answer 1

The first three terms of the sequence are 1.5, 6, and 13.5.

Step-by-step explanation:

The nth term of a sequence is given by 3n2/2. To find the first three terms of the sequence, we substitute 1, 2, and 3 into the formula.

When n = 1, the nth term = 3(1)2/2 = 3/2 = 1.5.

When n = 2, the nth term = 3(2)2/2 = 3(4)/2 = 6.

When n = 3, the nth term = 3(3)2/2 = 3(9)/2 = 13.5.

The first three terms of the sequence are 1.5, 6, and 13.5.