What is the answer to xn+2-3xn+1+2xn=4n+1 ?

The answer to xn+2-3xn+1+2xn=4n+1 is True for all x;\quad 2=4n

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xn+2-3xn+1+2xn=4n+1

x n + 2 - 3 x n + 1 + 2 x n = 4 n + 1

True for all x; 2 = 4 n

Solution steps

x n + 2 - 3 x n + 1 + 2 x n = 4 n + 1

Subtract

1

from both sides

x n + 2 - 3 x n + 1 + 2 x n - 1 = 4 n + 1 - 1

Simplify

x n + 2 - 3 x n + 2 x n = 4 n

Group like terms

n x - 3 n x + 2 n x + 2 = 4 n

Add similar elements:

n x - 3 n x + 2 n x = 0

2 = 4 n

Both sides are equal

True for all x; 2 = 4 n

9 - 3 x + 2 (3 - x) = - 5 (x + 4) - x

- 2.4 (m - \frac{2}{3}) = - 9

x + 5 = - (x - 3)

4 x - 2 = 3 x

x, 3 x + 9 = 2 x + 4 y

What is the answer to xn+2-3xn+1+2xn=4n+1 ?
The answer to xn+2-3xn+1+2xn=4n+1 is True for all x;\quad 2=4n