Using mathematical induction prove whether or not the following statement is true for all positive integers n, or show why it is false.

2+6+10+ +4n-2=2n^2

Base case: For , the left side is 2 and the right is , so the base case holds.

Induction hypothesis: Assume the statement is true for , that is

We want to show that this implies truth for , that

The first terms on the left reduce according to the assumption above, and we can simplify the -th term a bit:

so the statement is true for all .

i'm not entirely sure

step-by-step explanation:

if you ask home depot or lowe's they might be able to you out

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation: