So even postive integers are by defention in form 2k where k is a natural number so
let the sum of even integers to n=S
S=2(1+2+3+4+5+6+7+8+......+k-1+k
divide bith sides of equation 1 by 2
0.5S=1+2+3+4+5+...........+k-1+k
S=2(k+(k-1)+..............................+2+1)
divide both sides of equation 2 by 2
0.5S=k+k-1+..............................+2+1)
by adding both we will get
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S=(k+1)(k)
so the sum will be equal to
S=
so let us test the equation
for the first 3 even number there sums will be
2+4+6=12
by our equation 3^2+3=12
gave us the same answer so our equation is correct
Answer number 3
Step-by-step explanation:
Answer:
The Associative property states that no matter which terms you combine first, the answer would be the same.
For example:
5 + (6 + 7) = (5 + 6) + 7
~<em>Senpai</em>
Answer: I believe it is a. Sorry if I am incorrect
Step-by-step explanation:
Functions assign outputs to inputs. The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.
Yes, because the sum of any 2 sides of the triangle is greater than the value of the third side.