Consider the sequence -2, 6, -18,54
Select all of the statements that are true for the sequence.

The sequence is geometric

The recursive formula for the sequence is:

The explicit formula for the sequence is

Explanation:

The given sequence is -2, 6, -18,54

There is a common ratio of

Since there is a common ratio, the sequence is geometric.

The first term of this sequence is

The recursive definition is given by:

We substitute r=-3 to get,

The explicit formula is

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