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3 years ago

F(1)=6;f(n)=f(n−1)−2

Mathematics

1 answer:

ch4aika [34]3 years ago

5 0

Answer: f(7) = f(4) + 3(3) = 15 + 9 = 24

Step by Step Explanation:

f(1) = 6

f(n) = f(n-1) + 3

f(2) = f(1) + 3 = 6+3 = 9

f(3) = f(2) + 3 = 12

f(4) = f(3) + 3 = 15

Each term is 3 more than the previous one

Therefore to get from the 4th term to the 7th term you will add 3

For a total of 3 more times.

f(7) = f(4) + 3(3) = 15 + 9 = 24

Hope this helps

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Find the common denominator.

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Divide both sides by the same factor.

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↓

<h3>Verification</h3>

Let x=12.

$\bf{\dfrac{5}{2}\times12-7=\dfrac{3}{4}\times12+14 }$
$\bf{\dfrac{5\times12}{2}-7=\dfrac{3}{4}\times12+14 }$
$\bf{\dfrac{60}{2}-7=\dfrac{3}{4}\times12+14 }$
$\bf{30-7=\dfrac{3}{4}\times12+14 }$
$\bf{30-7=\dfrac{3\times12}{4}+14 }$
$\bf{30-7=\dfrac{36}{4}+14 }$
$\bf{30-7=9+14 }$
$\bf{23=9+14 }$
$\bf{23=23}$

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