Question

In an arithmetic sequence, a17 = -40 and a28 = -73. explain how to use this information to write a recursive formula for this sequence.

Answer 1

Answer:

The difference between the given terms is

–73 – (–40) = –33.

The difference between the term numbers is 28 – 17 = 11.

Dividing –33 / 11 = –3.

The common difference is –3.

The recursive formula is the previous term minus 3, or an = an – 1 - 3 where a17 = -40

Step-by-step explanation:

Answer 2

With the given information you can form a system of equations with the help of the formular for the nth term of an arithmetic sequence. From which you find the first term and the common difference, with which you can wite the recursive formula for the sequence.