Answer:
Cans for food drive
Step-by-step explanation:
Answer:
P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Step-by-step explanation:
Let P(n) be the proposition that 2n-1 ≤ n!. for n ≥ 3
Basis: P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Inductive Step: Assume P(k) holds, i.e., 2k - 1 ≤ k! for an arbitrary integer k ≥ 3. To show that P(k + 1) holds:
2(k+1) - 1 = 2k + 2 - 1
≤ 2 + k! (by the inductive hypothesis)
= (k + 1)! Therefore,2n-1 ≤ n! holds, for every integer n ≥ 3.
Use photo math , I’m sure it will help
Answer:
The answer to your questions radius = 14 in
Step-by-step explanation:
Data
Circumference = 28π in
radius = ?
Circumference is defined as the distance around the edge of a circle.
Formula
Circumference = 2π radius
-Solve for radius
radius = Circumference /2π
-Substitution
radius = 28π / 2π
-Simplification
radius = 28/2
-Result
radius = 14 in