Question

00 pts

Answer 1

Answer:

$a_n=6\cdot (-1)^n$

Step-by-step explanation:

Alternating Sequences

A sequence whose terms alternate in the sign is called an alternating sequence.

The given sequence consists of the numbers -6 and 6 in infinite alternation.

Such sequences can be expressed as equations of the form

$a_n=a\cdot (-1)^m$

Where a is the constant absolute value of each term and m is an expression adequately arranged to reproduce the alternation of signs.

Since the sign is minus for odd terms, and plus for even terms, m=n is a good expression for m. Thus:

$a_n=6\cdot (-1)^n$