Pattern Problem #6
Geometry
Level
2
Find the following number in the sequence (Numbers are rounded):
-4 -34 -113 -268 -???
The answer is 524.
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1 solution
The formula used is (4 Pi r^3)/3, or the formula for the volume of a sphere. The original numbers are 1, 2, 3, 4. so the next number should be five. As the question stated, all numbers were rounded, so 4.18879020479 was rounded for simplicity's purpose.
To find the answer use this: (4 Pi n^3)/3.
n=5
((4 (3.14159265359)) 5^3)/3
(12.56637061435*125)/3
523.5987755982 ~~ 524