# How do you write the nth term rule for the arithmetic sequence with #a_7=34# and #a_18=122#?

##### 2 Answers

#### Answer:

#### Explanation:

Hence

and

Subtracting firt equation from second equation, we get

Hence

Hence

#### Answer:

#### Explanation:

The given data are

We can set up 2 equations

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By method of elimination using subtraction, let us use first and second equations

By subtraction, we have the result

Solving now for

We can write the

#a_n=-14+8*(n-1)

God bless....I hope the explanation is useful.