Question

What is the recursive rule for the sequence shown in the graph?

Scatter plot sequence

Responses

an=an−1−4

a subscript n equals a subscript n minus 1 end subscript minus 4

an=an+1−4

a subscript n equals a subscript n plus 1 end subscript minus 4

an=13+(n−1)(−4)

a subscript n equals 13 plus open parentheses n minus 1 close parentheses open parentheses negative 4 close parentheses

an=an−1+4

a subscript n equals a subscript n minus 1 end subscript plus 4

Answer 1

The recursive rule is a_n = a_{n−1} − 4 (with initial term a₁ = 13). The sequence is arithmetic with common difference −4, so each term is 4 less than the previous.