Answer:
we need to prove : for every integer n>1, the number 
is a multiple of 5.
1) check divisibility for n=1, 
(divisible)
2) Assume that 
is divisible by 5, 
3) Induction,
Now, 
Take out the common factor,
(divisible by 5)
add both the sides by f(k)
We have proved that difference between 
and is divisible by 5.
so, our assumption in step 2 is correct.
Since is divisible by 5, then must be divisible by 5 since we are taking the sum of 2 terms that are divisible by 5.
Therefore, for every integer n>1, the number is a multiple of 5.
Answer:
1. <em>L = 3D +59</em>
2. 158 miles
Step-by-step explanation:
For the second part:
Since each day 3 miles of the road is being added, we can simply multiply the number 33 by 3, getting 99. If the road started with 59 miles, we need to add 59 to 99, getting 158 miles.
6a+16
Explanation:
If there's just a variable, there's an understood 1 in front of it. So what that really says is:
7a-1a+16
So, you combine the a's. 7a minus 1a is 6a. Same as 7-1,but you have a variable stuck on the end of it.
6a+16
:^)
Answer:
$100 rebate
Step-by-step explanation:
$479.99-$100.00= $379.99 or $479.99-20% =$383.99 so the $100.00 rebate a better offer
