Prove:
Using mathemetical induction:
P(n) = 
for n=1
P(n) = 
= 6
It is divisible by 2 and 3
Now, for n=k, 
P(k) = 
Assuming P(k) is divisible by 2 and 3:
Now, for n=k+1:
P(k+1) = 
P(k+1) = 
P(k+1) = 
Since, we assumed that P(k) is divisible by 2 and 3, therefore, P(k+1) is also
divisible by 2 and 3.
Hence, by mathematical induction, P(n) = is divisible by 2 and 3 for all positive integer n.
Answer: 381.51 cubic inches
Step-by-step explanation:
1. Use the formula: V = π
h, or in this case, 3.14(
)(6)
2. Simplify to 3.14(20.25)(6)
3. Simply multiply all three numbers using a calculator, or one by one if that's the preferred option.
4. You get: 381.51 cubic inches.
Answer:
the minimum value of the given function is -4
Step-by-step explanation:
- V= L×W×H
- you only need to know one side to figure out the
- volume of a cube
- volume is in 3Dimensions
- Multiple the sides in any order
- which side you call length, width, or height doesn't matter
that's how you find the answer.
does that help?
Answer:
Arc AM
Step-by-step explanation:
