An arithmetic sequence is given for each question below whose initial term a and common difference d are also given. What is the firth term?
(1) a = 6; d = -2
(2) a = sqrt{2}; d = sqrt{2}
To find the nth term, $\displaystyle a_n$, in an arithmetic sequence, use the following formula:
$\displaystyle a_n=a_1+(n-1)d$, where the first term is $\displaystyle a_1$ and the common difference is $\displaystyle d$
(1) $\displaystyle a_5=6+(5-1)(-2)=??$
(2) $\displaystyle a_5=\sqrt{2}+(5-1)(\sqrt{2})=??$