Question

Plz help

Consider the sequence 5, 12, 19, 26, ...

Enter numbers in the boxes to represent the fourth term as an ordered pair.

Answer 1

5, 12, 19, 26, 33

Explanation:

This is an arithmetic sequence since there is a common difference between each term. In this case, adding 7 to the previous term in the sequence gives the next term. In other words, an=a1 + d(n − 1) .

Arithmetic Sequence: d=7

This is the formula of an arithmetic sequence.an=a1 + d(n-1)

Substitute in the values of

a1=5 and d=7. an=5 + (7) (n − 1)

Simplifly each term : an=5 + 7n − 7

Subtract 7 from 5.

an=7n − 2