take the absolute value of the coefficient (2)
then the lower bound is the negative of that (-2)
so the range is [-2,2]
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:
A
Step-by-step explanation:
the graph does not mention pens (exept in the title)
so not c or d
so it has to be A
Answer:
each person will get 12 ounces of soup
Step-by-step explanation:
6 cans of 14 ounces- 6x14= 84
84 ounces divided among 7 friends- 84/7= 12
so each friend gets 12 ounces
18m x 22m would be how you solve one of the rectangles area
For all 3 it would be 1188m
How to solve= multiply length by width then multiply by three to find the area of all three rectangles
