Question

HOW TO FINISH IT? Complete the table and pattern. Determine the common difference. Write the explicit rule.

Answer 1

$a_{n} = a_{1} + d(n - 1)$   a₁ is the first term, d is the difference, and n is the term

a₁ = -5

d = -5

$a_{n} = -5 - 5(n - 1)$

$a_{n} = -5 - 5n + 5$  

$a_{n} = -5n$            explicit formula

$a_{n} = -5a_{n-1}$       recursive formula