If we have 2 bags containing marbles. bag a has 7 green and 6 black marbles. bag b has 8 yellow and 4 red marbles. if we pick ra
1 answer:
You might be interested in
Answer:
The statement is true for every n between 0 and 77 and it is false for
Step-by-step explanation:
First, observe that, for n=0 and n=1 the statement is true:
For n=0:
For n=1:
From this point we will assume that
As we can see, and
. Then,
Now, we will use the formula for the sum of the first 4th powers:
Therefore:
and, because ,
Observe that, because and is an integer,
In concusion, the statement is true if and only if n is a non negative integer such that
So, 78 is the smallest value of n that does not satisfy the inequality.
Note: If you compute for 77 and 78 you will obtain: