anonymous one year ago What is the 5th term of an arithmetic sequence if t2 = -5 and t6 = 7?

1. anonymous

$t_6-t_2=(6-2)d$ where $$d$$ is the common difference between consecutive terms. $7-(-5)=4d~~\implies~~d=\frac{12}{4}=3$ You have $$t_6-t_5=d$$, or $$7-3=t_5$$.

2. anonymous

3. anonymous

Yes

4. anonymous

Thank you! <3