If Mr. red's first year salary is $40,000 and it increases by $1000 each year. The explicit rule is: an = 1000n + 39,000.
Explicit rule
First term (a1) =40000
Common difference (d) = 1000
Using this formula to find the explicit rule
an = a1 + (n - 1) ×d
Let plug in the formula
an = 40000 + (n - 1) × 1000
Evaluate
an = 40000 - 1000 + 1000n
an =39,000 + 1000n
Rewrite
an = 1000n + 39,000
Therefore the explicit rule of Mr. Red's salary is: an = 1000n + 39,000.
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