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Mr. red's first year salary is $40,000 and it increases by $1000 each year. what is the explicit rule for this sequence in simplified form?

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abiolataiwo2015

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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