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andrezito [222]
3 years ago
12

What is 87 divided by 193no caulculators?

Mathematics
1 answer:
inessss [21]3 years ago
7 0
Decimal form- .4507772021
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we conclude that the sequence has 8 terms.

<h3>How to get the number of terms in the sequence?</h3>

Here we have the geometric sequence:

2/81, 4/27, 8/9, ..., 6912

Notice that each term is equal to 6 times the previous term, such that:

2/81*6 = 4/27

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Then the n-th term is equal to:

a_n = a_1*r^{n-1}

Where in this case:

a_1 = 2/81\\\\r = 6

Now we need to find the value of n such that:

(2/81)*6^{n-1} = 6912\\\\6^n = 6*6812*(81/2) = 1,679,616

If we apply the natural logarithm to both sides, then:

n*ln(6) = ln(1,679,616)\\n =  ln(1,679,616)/ln(6) = 8

Then we conclude that the sequence has 8 terms.

If you want to learn more about geometric sequences:

brainly.com/question/1509142

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