Write an expression for the sequence in each table.
4.
Position
1 2 3 4 5 1
Value of Term 9
10 11 12 13

Step-by-step explanation:

Determining the expression for the sequence:

Given the sequence

10,  11,  12,  13

Here, the first element is:

a₁ = 10

An arithmetic sequence has a constant difference 'd' and is defined by  

computing the differences of all the adjacent terms

The difference between all the adjacent terms is the same and equal to

now substituting d = 1 and a₁ = 10 in the nth term

Determining the value of the 9th term

Given the nth term

substituting n = 9 to determine the 9th term

Therefore, the vale of the 9th term is:

good job you smart son of a gun you are smarter that einstein. 7