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3 years ago

Determine whether the following sequence is arithmetic, geometric, or neither.

Mathematics

1 answer:

lawyer [7]3 years ago

5 0

Answer:

arith

Step-by-step explanation:

Let's check whether or not this is a geometric series.

The first term is 1 1/3, or 4/3.

What would the common ratio be, to convert this 4/3 into the 2nd term, 2?

(4/3)r = 2, or r = 2(3/4) = 6/4 = 3/2.

Assuming that the common ratio is r = 3/2, will multiplying 2 by 3/2 result in the 3rd term, 2 2/3? NO. So this is NOT a geometric progression.

The difference between 1 1/3 and 2 is 2/3. If we add 2/3 to 2, we get 2 2/3, which agrees with the given 3rd term.

If we add 2/3 to 2 2/3, do we get the fourth given term, 3 1/3?

2/3 + 2 2/3 is equivalent to 2 4/3, or 10/3, which is equivalent to 3 1/3.

Thus, this IS an arithmetic sequence, and the common difference is 2/3.

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Answer:

Step-by-step explanation:

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The domain D of integration in polar coordinates can be represented by:

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