Use mathematical induction to prove that the statement is true for every positive integer n. Show your work.

1 answer:

3 0

My first reasoning is the fact that the main number is 2
2nd reasoning is that
2 x n = 4
then 4 - 2 = 2
2 + 2 = 4
4 is a factor of 2

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How to solve such questions?

Such Questions can be easily solved just by some Algebraic manipulations and simplifications. We just try to make our expression in the form which question asks us. This is the best method to solve such questions as it will definitely lead us to correct answers. One such method is completing the square method.

Completing the square is a method that is used for converting a quadratic expression of the form $ax^{2} + bx + c$ to the vertex form

$a(x - h)^{2} + k$ . The most common application of completing the square is in solving a quadratic equation. This can be done by rearranging the expression obtained after completing the square: $a(x + m)^{2} + n$ , such that the left side is a perfect square trinomial