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AnnZ [28]
3 years ago
6

A geometric sequence is defined recursively but an=15an-1. The first term of the sequence is 0.0001. What is the explicit formul

a for the nth term of the sequence.
Mathematics
1 answer:
marshall27 [118]3 years ago
4 0
Hello,

a_{1}=10^{-4}
a_{2}=10^{-4}*15
a_{3}=10^{-4}*15^2

a_{n}=10^{-4}*15^{n-1}





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Answer:

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Step-by-step explanation:

<u>Given:</u>

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12.4 to 20.4      decreased (difference = 8)

20.4 to 3.2        increased  (difference = 17.2)

<u>To find:</u>

Final temperature.

Solution:

As we noticed, this is a pattern of increase, decrease, increase... (and so on and so forth). From this alone, we have gotten the clue that the temperature is going to decrease. But here is the thing, How far will it decrease?

Use the difference of the starting result to find the ending result.

3.2 - 15

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2 years ago
Solve each of the following equations for xx using the same technique as was used in the Opening Exercise.
Brrunno [24]

Answer:

The value of the x is 1/9.  

Step-by-step explanation:

Data provided in the question is:

3^2/x=81

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the value of x.

Solution for the equation:-    

3^2/x = 81\\9/x=81\\9/81=x\\1/9=x\\

On solving the given question or equation by using  mathematics of algebra we find out the value of x to be 1/9.

7 0
3 years ago
A principal of ​$5000 is invested in an account paying an annual rate of 7​%. Find the amount in the account after 5 years if th
Alekssandra [29.7K]

Answer:

$7,012.76

Step-by-step explanation:

First, convert R as a percent to r as a decimal

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Then solve the equation for A

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A = 5,000.00(1 + 0.07/1)(1)(5)

A = 5,000.00(1 + 0.07)(5)

A = $7,012.76

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 7% per year compounded 1 times per year over 5 years is $7,012.76.

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leva [86]
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