How do you write a rule for the nth term of the arithmetic sequence and then find $a_{22}$ $a_22$ given $5/8, 5/4, 15/8, 5/2,...$ ?

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Answer 1 · 2017-02-19T22:28:30

If we write everything with $8$ as a denominator it's easier:

$5/8,10/8,15/8,20/8...$

So apparently the formula is $a_n=(5xxn)/8$

So $a_22=(5xx22)/8=110/8$

Which can also be written as $a_22=55/4or13 3/4$ as you wish.

How do you write a rule for the nth term of the arithmetic sequence and then find a_22a22a_22 given 5/8, 5/4, 15/8, 5/2,...5/8, 5/4, 15/8, 5/2,...?