Decide whether the sequence is artithemetic, geometric or neither 2,6,10,16

We conclude that the sequence is NEITHER geometrc nor arithmetic.

Step-by-step explanation:

Given the sequence

As we know that

An arithmetic sequence has a constant difference d and is defined by:

Computing the differences between all adjacent terms:

The difference is not constant

Hence, the sequence is NOT arithmetic.

NOW, let's check whether is a geometric sequence or not

A geometric sequece has a constant common ration r and is defined by:

Computing the common ratios between all adjacent terms:

The ratio is not constant

Hence, the sequence is NOT geometric.

Therefore, we conclude that the sequence is NEITHER geometrc nor arithmetic.

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