How to find the common difference and the nth term of the arithmetic sequence below? $8, 7 3/4 , 7 1/2, 7 1/4, ....$

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Answer 1 · 2018-06-27T14:33:36

The common difference of an arithmetic progression is

$d=a_n-a_(n-1)$

For any $n > 1$ .

$d = 7 3/4-8=7 1/2 - 7 3/4=-1/4$

The $n$ -th term is given by the formula

$a_n = a_1 + (n-1)d = 8-1/4(n-1)$

How to find the common difference and the nth term of the arithmetic sequence below? 8, 7 3/4 , 7 1/2, 7 1/4, .... 8, 7 3/4 , 7 1/2, 7 1/4, ....