Which representation shows the first five terms of a sequence given by the recursive formula an = an−1 + 5, where a1 = 15?
a. 15, 20, 25, 30, 35
To find the first five terms of the sequence given by the recursive formula an = an−1 + 5, where a1 = 15, we can use the formula repeatedly.
We start with a1 = 15.
a2 = a1 + 5 = 15 + 5 = 20
a3 = a2 + 5 = 20 + 5 = 25
a4 = a3 + 5 = 25 + 5 = 30
a5 = a4 + 5 = 30 + 5 = 35
Therefore, the first five terms of the sequence are:
15, 20, 25, 30, 35