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ioda
3 years ago
11

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

Mathematics
1 answer:
aliya0001 [1]3 years ago
5 0

\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

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