Answer: an = - 17 + 4(n - 1)
Explanation:
In an arithmetic sequence, the consecutive terms differ by a common difference.
The formula for determining the nth term of an arithmetic sequence is expressed as
an = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = - 17
d = - 13 - - 17 = - 9 - - 13 = 4
Therefore, the equation for the nth term of the arithmetic sequence is
an = - 17 + 4(n - 1)