Question

This is an arithmetic sequence. (2.8, 3.7, 4.6 , 5.5)equation base: a sub n =a sub 1+d(n-1)here's what I have so far: a sub n=2.8+_______​

Answer 1

The common difference d of the given arithmetic sequence is 0.9, resulting in the n-th term formula a_n = 2.8 + 0.9(n - 1).

Step-by-step explanation:

The arithmetic sequence in question is (2.8, 3.7, 4.6, 5.5). To find the common difference d of an arithmetic sequence, you subtract any term from the term that follows it. So, if we subtract the first term from the second term (3.7 - 2.8), we get a common difference of 0.9. Now we can write the n-th term formula for the sequence using the equation an = a1 + d(n - 1). Therefore, the equation representing the n-th term of the sequence is an = 2.8 + 0.9(n - 1).