these are the first four terms of a linear sequence3.1 , 2.3 , 1.5 , 0.7 find the nth term of the sequence

To find the nth term of a linear sequence, we need to determine the common difference and the first term.

Step 1: Find the common difference The common difference (d) is the difference between any two successive terms. In this case, we subtract the second term from the first term, or the third term from the second term, and so on.

2.3 - 3.1 = -0.8 1.5 - 2.3 = -0.8 0.7 - 1.5 = -0.8

So, the common difference (d) is -0.8.

Step 2: Find the first term The first term (a) is the first number in the sequence, which is 3.1 in this case.

Step 3: Use the formula for the nth term The formula for the nth term of a linear sequence is:

nth term = a + (n - 1) * d

Substituting the values we found:

nth term = 3.1 + (n - 1) * -0.8

So, the nth term of the sequence is 3.1 - 0.8(n - 1).