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:
A: 336 km
B: 14 L
Step-by-step explanation:
Use a proportion
210 km / 5 L = x / 8L Cross multiply
8*210 = 5 x
1680 = 5x
x = 1680 / 5
x = 336 km
===============
210 /5 = 588/x Cross multiply
210x = 588 * 5
210x = 2940 Divide by 210
x = 2940/210
x = 14 L
Answer:
Second option is the right choice.
Step-by-step explanation:
SSS.
Answer:
2.5
Step-by-step explanation: