The Least Common Multiple of 104 and 76 is 1976
Answer:
5.
Step-by-step explanation:
If the decimal is a five or higher, round up. If it is four or lower, round down.
Answer:
Step-by-step explanation:
OMG! Don't do that! I am so sorry this is happening to you. Look I don't know how to comfort you. IF he keeps doing this tell your mom or litterally call 911. If he did it just on that day then try confronting him on it. And ask him why he did that! Don't self-harm you deserve so much more than that! You are awesome!
Step-by-step explanation:
Let's assume that
P(n)=1.1! +2.2! +3.3! + ... +n.n! = (n + 1)! - 1.
For n = 1
L.H.S = 1.1!
= 1
R.H.S = (n + 1)! - 1.
=(1 + 1)! - 1.
= 1
L.H.S = R.H.S
Hence the P(n) is true for n=1
Fort n = 2
L.H.S=1.1! +2.2!
=1+4
=5
R.H.S = (2 + 1)! - 1.
=(2 + 1)! - 1.
= 5
L.H.S = R.H.S
Hence the P(n) is true for n=2
Let's assume that P(n) is true for all n.
Then we have to prove that P(n) is true for (n+1) too.
So,
L.H.S = 1.1! +2.2! +3.3! + ... +n.n!+(n+1).(n+1)!
= (n + 1)! - 1 +(n+1).(n+1)!
= (n+1)![1+(n+1)]-1
=(n+1)!(n+2)-1
=(n+2)!-1
=[(n+1)+1]!-1
So, P(n) is also true for (n+1).
So, P(n) is true for all integers n.