Question

Determine weather the sequence 6,12,24,48 could be an an arithmetic sequence.

Answer 1

The sequence cannot be arithmetic.

Explanation:

Given the sequence: 6,12,24,48

We want to determine if the sequence is arithmetic.

An arithmetic sequence is a sequence made in which the next term is obtained by the addition of a constant term called the common difference.

In the given sequence:

`\begin{gathered} 12-6=6 \\ 24-12=12 \\ 48-24=24 \end{gathered}`

The difference between the terms is not constant.

Therefore, the sequence cannot be arithmetic.