Question

The explicit rule for an arithmetic sequence is an=20/3+1/3(n-1). What is the value of the 89th term?

Answer 1

B

Explanation:

Just did it

Answer 2

`\bf a_n=\cfrac{20}{3}+\cfrac{1}{3}(n-1) \\\\[-0.35em] ~\dotfill\\\\ \stackrel{89^(th)~term~\hfill }{a_(89)=\cfrac{20}{3}+\cfrac{1}{3}(89-1)}\implies a_(89)=\cfrac{20}{3}+\cfrac{1}{3}(88)\implies a_(89)=\cfrac{20}{3}+\cfrac{88}{3} \\\\\\ a_(89)=\cfrac{20+88}{3}\implies a_(89)=\cfrac{108}{3}\implies a_(89)=36`