# what is the explicit equation for the sequence 3,10,17,24

what is the explicit equation for the sequence 3,10,17,24
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averes8

This example is know as an arithmetic sequence since there is a common difference between eac term. Adding 7 to the previous term in the sequence gives the next term.
We have the standart equation of: an=a1+d(n-1). d=7
This is the formula for our arithmetic sequence: an=3+(7)(n-1)
Let us distribute the 7 into the equation: $an=3+7n-7\to an=7n-4$

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