For each sequence, determine whether it is an arithmetic sequence, a geometric sequence, or neither. If it is either arithmetic

Question

2 years ago

12

or geometric, give the next term in the sequence.
1, 8, 27, 81, 243,

1 answer:

12345 [234] · Answer 1 · 2023-08-08T03:58:16+03:00

The sequence is a geometric and the next term is 729

<h3>What is a geometric sequence?</h3>

A geometric sequence is a type of sequence which goes from one term to the next by multiplying or dividing by the same value.

The number multiplied or being divided at each stage of a geometric sequence is known as the common ratio.

From the sequence given,

1, 3, 27, 81, 243,

We can see that the common ratio is gotten by multiplying a term by 3 or dividing the next term by 3.

The next term is 243 × 3 = 729

Thus, the sequence is a geometric and the next term is 729

Learn more about a geometric sequence here:

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