Identify the sequence as arithmetic, geometric, both, or neither. 50, –50, 50, –50, . . both arithmetic geometric neither description

The sequence is geometric.

Step-by-step explanation:

In Arithmetic sequence, there is a common difference between any two consecutive terms but in Geometric sequence, there is a common ratio between any two consecutive terms.

Given sequence is:   50,  -50,  50,  -50,.................  

Lets assume, the terms as  

Checking for common difference:  

As there is no common difference, so it's not an arithmetic sequence.

Checking for common ratio

As there is a common ratio, so it's a geometric sequence.

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