Answer: 19
Step-by-step explanation:
Answer: Satisfied for n=1, n=k and n=k+1
Step-by-step explanation:
The induction procedure involves two steps
First is
Basic Step
Here we consider that for the value n=1, there is one car and it will always make the full circle.
Induction Step
Since basic step is satisfied for n=1
Now we do it for n=k+1
Now according to the statement a car makes full circle by taking gas from other cars as it passes them. This means there are cars that are there to provide fuel to the car. So we have a car that can be eliminated i.e. it gives it fuels to other car to make full circle so it is always there.
Now ,go through the statement again that the original car gets past the other car and take the gas from it to eliminate it. So now cars remain k instead of k+1 as it's fuel has been taken. Now the car that has taken the fuel can make the full circle. The gas is enough to make a circle now.
So by induction we can find a car that satisfies k+1 induction so for k number of cars, we can also find a car that makes a full circle.
Answer:
E. is the correct answer
Step-by-step explanation:
Answer:
900.
Step-by-step explanation:
The first 6 square numbers are 1, 4, 9, 16, 25, 36,
The required product is 25 * 36
= 900.
Answer:
Step-by-step explanation:
Given : 
We have to write which identity we will use to prove the given statement.
Consider
Take left hand side of given expression 
We know
Comparing , we get, a= 180° and b = q
Substitute , we get,
Also, we know 
and 
Substitute, we get,
Simplify , we get,
Hence, use difference identity to prove the given result.
