SOLUTION: What is the nth term of the arithmetic sequence a[7]=34, a[18]=122?

Algebra.Com
Question 598451: What is the nth term of the arithmetic sequence a[7]=34, a[18]=122?
Answer by tommyt3rd(5050)   (Show Source): You can put this solution on YOUR website!
the common difference is essentially the slope of an arithmetic progression.
,

leads us to

We can rewrite the nth term as




Now using the 7th term we write





nth term:





:)

RELATED QUESTIONS

-22,-26,-30,-34 Write a rule for the nth term of the arithmetic sequence (answered by Fombitz)
write a rule for the nth term of the arithmetic sequence 2,9,16,23,30...What is... (answered by richwmiller)
What is the nth term of arithmetic sequence... (answered by solver91311)
What is the nth term of the arithmetic sequence? 7, 5, 3, 1, … A. –2n B. 7 – 2n... (answered by richwmiller)
what is the nth term of an arithmetic sequence, what is the 101st term... (answered by stanbon)
Using the formula for the nth term of an arithmetic sequence, what is 101st... (answered by stanbon)
Write a rule for the nth term of the arithmetic sequence, then find a23... (answered by KMST)
Which nth term of the arithmetic sequence 2,7,12 is... (answered by rothauserc)
I'm a high school student in Algebra 2. I have a couple questions, 1. what are the... (answered by stanbon)