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3 years ago

PLEASE HELP ME WITH THIS QUESTION!!! 20 PTS. PLZZ.

Mathematics

1 answer:

EleoNora [17]3 years ago

3 0

The appropriate descriptors of geometric sequences are ...

... B) Geometric sequences have a common ratio between terms.

... D) Geometric sequences are restricted to the domain of natural numbers.

_____

The sequences may increase, decrease, or alternate between increasing and decreasing.

If the first term is zero, then all terms are zero—not a very interesting sequence. Since division by zero is undefined, the common ration of such a sequence would be undefined.

There are some sequences that have a common difference between particular pairs of terms. However, a sequence that has the same difference between all adjacent pairs of terms is called an <em>arithmetic sequence</em>, not a geometric sequence.

Any sequence has terms numbered by the counting numbers: term 1, term 2, term 3, and so on. Hence the domain is those natural numbers. The relation describing a geometric sequence is an exponential relation. It can be evaluated for values of the independent variable that are not natural numbers, but now we're talking exponential function, not geometric sequence.

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