Following one side of a rural road, the house numbers increase by eighteen. the house number of the first house on the road is 82. express this sequence recursively and explicitly.

Recursive:

Explicit:

Explanation:

1. Sequence:

2. Recursive formula

The recursive formula permits to calculate the value of the nth term in the sequence using the (n-1)th term in the sequence.

3. Explicit formula

The explicit formula permits to calculate any value of a term in the sequence:

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation:

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