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3 years ago

What is a possible value for the missing term of the geometric sequence? 39, ___ , 975, ... (1 point)

Mathematics

2 answers:

vfiekz [6]3 years ago

4 0

It probably is 195 but the answer choices aren't supposed to be negative

ella [17]3 years ago

3 0

Answer:

B) 195

Step-by-step explanation:

It is given as geometric series.

Therefore, the common ratio must be the second term divided by the first term.

If we take 195 as the missing term, that is the second term.

common ratio (r) = 195/39 = 5

When we multiply the second term by 5, we have to get the third term.

5*195 = 975

It is true.

Therefore, the missing term is 195.

Answer: B) 195

Thank you.

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2 years ago

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sergey [27]

Answer:

The continuous yearly interest is 22.5% per year.

Step-by-step explanation:

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Continuous yearly interest is defined as the sum of the interest comes from principle and the interest comes from interest.

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$A=Pe^{rt}$

where A = The final amount =$110,000

P= principle =$4,700

r= rate of interest

t= time (in year)= 14 years

$\therefore 110,000= 4,700e^{r\times 14}$

$\Rightarrow e^{14r}= \frac{110,000}{4,700}$

Taking ln both sides

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3 years ago