Explicit rule that describes the rent in ‘n’ years. (Question 5)

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03-11-2022
Mathematics

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Explicit rule that describes the rent in ‘n’ years. (Question 5)

Sagot :

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LyricsP197533 LyricsP197533 · Answer 1 · 2022-11-03T06:14:07-04:00

Answer::

[tex]f(n)=62000(1.03)^n[/tex]

Explanation:

• The first year rent = $62,000

,

• The rate of increase, r = 3% = 0.03

Since the rent increases by a common factor each year, we can find the explicit rule by using the formula for the nth term of a geometric sequence.

The nth term of a geometric sequence is calculated using the formula:

[tex]T_n=a_1(r)^{n-1}[/tex]

In this case:

• a1 = 62,000

,

• r=1+0.03=1.03

Thus, an explicit rule that describes the rent after n years is:

[tex]f(n)=62000(1.03)^n[/tex]

Sagot :

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