$f(6)$ is 5 times $f(5)$ , which means $f(6)=5f(5)$
in turn, $f(5)$ is 5 times $f(4)$ , so we have $f(5)=5f(4)$ . This means that $f(6)=5f(5)=5\cdot 5f(4) = 25f(4)$
Finally, $f(4)=5f(3)$ So, substituting this back gives

$f(6)=25f(4)=25\cdot 5f(3)=125f(3)$

In general, since you have $f(n)=5f(n-1)$ , each time you compute a new term you multiply by a factor of 5, so if $m=n+k$ , you have

$f(m)=5^kf(n)$

4 0

2 years ago

The measures angles of hexagon are 4x, 5x, 6x, 7x, 8x and 9x. calculate the size of the largest angle.

ankoles [38]

Answer:

rounded to the nearest whole number = 166

Step-by-step explanation:

Add all of the angles together, to get 39x. In a hexagon, all the angles add up to 720. Divide 720 by 39 to get x, then multiply x by 9, as that is the largest angle to get an answer rounded to the nearest whole number of 166.

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8 0

2 years ago