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>
Any point with the y of 5 could be the answer
Answer:
36
Step-by-step explanation:
Flip your eq. x/3 + 6 = 18.
Solve (Number on one, variable on other)
+6 -6 = 0. 18-6=12.
Multiply.
12 * 3 = 36.
This equation is written in slope-intercept form y = mx + b
m = slope
b = y-intercept
In this equation the slope is -4/5
Hope This Helped! Good Luck!
