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What is the recursive rule?

Question 2 options:

an = an+1 + 500; a1 = 30,000

an = an−1 + 30,000; a1 = 500

an = an−1 + 500; a1 = 29,500

an = an−1 + 500; a1 = 30,000

Sagot :

Mr. Red's salary is an illustration of an arithmetic sequence

The recursive rule of the sequence is (d) an = an−1 + 500; a1 = 30000

How to determine the recursive formula?

From the complete question, we have the explicit rule of Mr. Red's salary to be

an = 500n + 29500

Where:

  • First term, a1 = 30000
  • Common difference, d = 500

The above means that:

The difference between a term and the next term is 500.

So, the recursive rule is:

an = an−1 + 500

Recall that:

a1 = 30000

Hence, the recursive rule of the sequence is (d) an = an−1 + 500; a1 = 30000

Read more about arithmetic sequence at:

brainly.com/question/6561461