Classify the sequence {a_n}={4,10/3,8/3,} as arithmetic or geometric. then, determine whether the sequence is convergent or divergent.

Arithmetic and divergent sequence.

Step-by-step explanation:

We have been given a sequence:

Arithmetic sequence: It is the sequence in which the difference (known as common difference) between consecutive terms is same

Formula for difference:

Geometric sequence: It is the sequence in which the ratio (known as common ration) between consecutive terms is same.

Formula for ratio:

Here, we will first check the common difference

Hence, we are getting common difference therefore it is an arithmetic sequence.  

Arithmetic sequence always diverges

And given sequence being arithmetic will diverge.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

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step-by-step explanation:

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