What is the next number in this sequence? 4,6,8,10 - Correct Answer Principle: Arithmetic Progression
N+C where C is a constant
So 4 + C = 6
C=2
10+2= 12, Answer is 12.
What is the next number in this sequence?
2, -6, 18, -48? - Correct Answer Principle: Geometric Progression
N...
4, 11, 32, 95? - Correct Answer Principle: Combination of Arithmetic and Geometric Progression
At first this looks geometric but the ratio of the next number to the first changes
So you look at the ratio of differences:
, 7 ((11-4)
21 (32 - 11)
63 (95-11)
And you see the ratio of the difference is 3 so one factor is 3 or 3N +/- C applying it to the first one 4 *3 is
12, subtract 1 to get 11
So the next number is 95 * 3 -1 or 284
What is the circumference of circle with a diameter of 3 and is it greater or smaller than the perimeter of
square that has a diameter of 3? - Correct Answer Principle: Perimeter or length of lines defining a
shape and the constant ∏ and base formulas for each:
Circle perimeter is ∏ or 3.14 times diameter
Diameter is two times the radius defined as the distance from the outer edge of the circle to the center
So in this cash diameter of 3 times 3.14 or 9.42 is the perimeter of the circle
Square permiter is 4 times the length of one side as all side are equal so the square perimeter is 4 times
3 or 12.
*Note that the diameter of circle is the same as on the sides so the circle fits inside of square and
touches all four sides
What is the perimeter of box with one side equal to 4 inches and the other side equal to 6 inches? -
Correct Answer Principle: Perimeter of a rectangle
P = 2l + 2w or 2(l + w)
P = 2(4+6) or 2(10) or 20
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