Nicolas has three fewer than twice the number of songs downloaded as Sabrina does.
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If we want to find the surface area of a cube, we need to find the area of one surface first, and then multiply that by 9, since there are 9 sides/surfaces on a cube.
Since each side of a square is the same, we first find the area of one surface:
9 × 9 = 81
Then, to find the surface area, we multiply 81 by 6:
81 × 6 = 486
The surface area is
If we want to find the surface area of a cube, we need to find the area of one surface first, and then multiply that by 9, since there are 9 sides/surfaces on a cube.
Since each side of a square is the same, we first find the area of one surface:
9 × 9 = 81
Then, to find the surface area, we multiply 81 by 6:
81 × 6 = 486
The surface area is
The base case is the claim that
which reduces to
which is true.
Assume that the inequality holds for <em>n</em> = <em>k </em>; that
We want to show if this is true, then the equality also holds for <em>n</em> = <em>k</em> + 1 ; that
By the induction hypothesis,
Now compare this to the upper bound we seek:
because
in turn because