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:
m=5/2
Step-by-step explanation:
To find the slope, use the formula y=mx+b. m is the slope. The line with the equation y-4=5/2(x-2) gives us a slope of m=5/2. Hope it helps!
Answer: xy=11 in.; yz= 13 in.; xz=13in.
Step-by-step explanation:
i’m pretty sure that’s it
Distance=speed times time
distance=30mi
speed=15mph
t=t
so
30=15 times t
divide both sides by 15
2=t
2 hours
