f(2n+1)=f(n-1)+f(n)+1

Simple and best practice solution for f(2n+1)=f(n-1)+f(n)+1 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for f(2n+1)=f(n-1)+f(n)+1 equation:


Simplifying
f(2n + 1) = f(n + -1) + f(n) + 1

Reorder the terms:
f(1 + 2n) = f(n + -1) + f(n) + 1
(1 * f + 2n * f) = f(n + -1) + f(n) + 1
(1f + 2fn) = f(n + -1) + f(n) + 1

Reorder the terms:
1f + 2fn = f(-1 + n) + f(n) + 1
1f + 2fn = (-1 * f + n * f) + f(n) + 1
1f + 2fn = (-1f + fn) + f(n) + 1

Multiply f * n
1f + 2fn = -1f + fn + fn + 1

Reorder the terms:
1f + 2fn = 1 + -1f + fn + fn

Combine like terms: fn + fn = 2fn
1f + 2fn = 1 + -1f + 2fn

Add '-2fn' to each side of the equation.
1f + 2fn + -2fn = 1 + -1f + 2fn + -2fn

Combine like terms: 2fn + -2fn = 0
1f + 0 = 1 + -1f + 2fn + -2fn
1f = 1 + -1f + 2fn + -2fn

Combine like terms: 2fn + -2fn = 0
1f = 1 + -1f + 0
1f = 1 + -1f

Solving
1f = 1 + -1f

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Add 'f' to each side of the equation.
1f + f = 1 + -1f + f

Combine like terms: 1f + f = 2f
2f = 1 + -1f + f

Combine like terms: -1f + f = 0
2f = 1 + 0
2f = 1

Divide each side by '2'.
f = 0.5

Simplifying
f = 0.5

See similar equations:

| 5(2x-3)+3x=10x | | 3,5x+1=3+3,1x | | iz+1-i=0 | | 5x+6-7x=7-5x+8 | | 2x+9x-6x-5=5 | | 17x-1=9x+7 | | 2x+13=x+6 | | -9=-y+5 | | 2x+9x-5=5 | | m^2+8mn-20n^2=0 | | what*.15=9460 | | 3x-6+9x-6(x+4)-9=9(x+3) | | 9p+3q-2p-3q= | | o=-y+5 | | x-1=3x+9 | | In(3x-4)=2.3 | | a+2b+a-b= | | 8b+7c+3b-2c= | | 150=5x+15+-8+8x | | 5n-5=n+3 | | X^3-3x^2=o | | 6u+9v+u+3v= | | 8(6a+8)= | | 2m+5n+4m+3n= | | 9p+8q-p= | | x^4y^2*-14x^2y+49=0 | | 3+7x=68 | | 6u+3v-2u= | | 2x+15=-5+2x+20 | | (x+6)(6x^2+2x+9)= | | 2x-10+2x=5+4x-2x | | 3a+8b+5a= |

Equations solver categories