First verify it holds for n=1
then you are allowed to assume it holds for n and you can start with the induction step
for n+1 instead of inserting it into the equation, add it to both sides and transform it to the original formula to proof its equality

this equals the original formula if you had inserted n+1, proving the correctness
Answer:
10 C
Step-by-step explanation:
Answer:
the rug should be 10 feet by 16 feet
this makes the area 160 foot squared
Step-by-step explanation:
there is a 2 foot border on each side so the total area loses 4 feet from length. this gives 10 feet by 16 feet.
Answer:
Step-by-step explanation:
In order to determine the number of
tiles she will need to cover the pyramid, we would apply the formula for determining the total surface area of a pyramid. It is expressed as
Total surface area = 1/2 × p × l + base area
Where
p represents the perimeter of the base
l represents the slant height of the triangular face
Since the base is a square, the perimeter, p is
12 × 4 = 48 feet
l = 15 feet
Base area = 12² = 144 ft²
Total surface area = (1/2 × 48 × 15) + 144 = 504 ft²
Since the artist decides to cover the metal structure with 1-foot square glass tiles, the number of tiles needed is
504/1 = 504 tiles