# Help, i need to find the explicit formula for the following sequence 38, 33, 28, 23,...

Help, i need to find the explicit formula for the following sequence 38, 33, 28, 23,...
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rougertl
This is an arithmetic sequence with first term a=38 and constant difference d=5.

Hence the general term is given by
$\left({x}_{n}\right)=a+\left(n-1\right)d$
$=38+\left(n-1\right)\left(-5\right)$
$=38-5n+5$
$=43-5n$