Answer to Question #95006 in Algebra for Libby Wareing

Question

What’s the 50th term of this linear sequence 27,25,23,21,19...

Answer 1

The linear sequence 27, 25, 23, 21, 19... is an arithmetic progression with (-2) as the common difference.

The nth term of an arithmetic progression is $a_n=a_1+(n-1)d$, where $a_n$ is the nth term, $a_1$ is the first term, d is the common difference.

In our case, $n=50, a_1=27, d=-2$ , hence, we get

$a_{50}=27+49\cdot(-2);\\ a_{50}= 27-98=-71.$

The 50th term of this sequence is (-71).