Answer:
a) the first negative number will be -1
b) A, B and C
c) 0.3
Step-by-step explanation:
Proving a relation for all natural numbers involves proving it for n = 1 and showing that it holds for n + 1 if it is assumed that it is true for any n.
The relation 2+4+6+...+2n = n^2+n has to be proved.
If n = 1, the right hand side is equal to 2*1 = 2 and the left hand side is equal to 1^1 + 1 = 1 + 1 = 2
Assume that the relation holds for any value of n.
2 + 4 + 6 + ... + 2n + 2(n+1) = n^2 + n + 2(n + 1)
= n^2 + n + 2n + 2
= n^2 + 2n + 1 + n + 1
= (n + 1)^2 + (n + 1)
This shows that the given relation is true for n = 1 and if it is assumed to be true for n it is also true for n + 1.
<span>By mathematical induction the relation is true for any value of n.</span>
Answer:
n=15
Step-by-step explanation:
subtract 8 from both sides to get 3n=45
divide both sides by 3 to solve for n to get n=15
Sort of, say you take 99% off of something that is $100. You will end up paying $1. Then if you take another 99% off, you wil pay $0.01. Takig another 99% off will give you $0.001, but money only goes to two decimal points, so its free from a money standpoint, but there is still a cost.
Times 9,125 by 6 and you should get 54,750 in total
