Answer:
An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. In this case, the given sequence begins with 14 and each subsequent term increases by 0.2. This means that the common difference (d) is 0.2.
Explanation:
The formula for the nth term (an) of an arithmetic sequence is given by:
an = a1 + (n - 1) * d
Where:
an is the nth term
a1 is the first term
n is the term number
d is the common difference
For the given sequence:
a1 = 14 (the first term)
d = 0.2 (the common difference)
Substituting these values into the formula:
an = 14 + (n - 1) * 0.2
So, the formula for the arithmetic sequence is:
an = 14 + 0.2n - 0.2
Simplifying:
an = 14 + 0.2n - 0.2
an = 0.2n + 13.8