3 years ago

What is the next term of the geometric sequence? 5,15,45,

Mathematics

1 answer:

frozen [14]3 years ago

8 0

135
5x3=15, 15x3=45, so 45x3=135

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<u>Step-by-step explanation:</u>

Use similar triangle proportion to find x:

$\dfrac{x}{4.5}=\dfrac{15.3+7.4}{7.4}\\\\\\x=\dfrac{4.5(22.7)}{7.4}\\\\\\x=13.8\\\\\text{Notice that x is the diameter of the circle}\implies r=\dfrac{13.8}{2}=6.9\\\\\\\text{Find the area of the circle using }A=\pi r^2\\A=\pi (6.9)^2\\\\.\ =\pi (47.6)\\\\.\ =149.6\\\\.\ \approx150$