an=a+(n+1)d

Simple and best practice solution for an=a+(n+1)d 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 an=a+(n+1)d equation:


Simplifying
an = a + (n + 1) * d

Reorder the terms:
an = a + (1 + n) * d

Reorder the terms for easier multiplication:
an = a + d(1 + n)
an = a + (1 * d + n * d)
an = a + (1d + dn)

Solving
an = a + 1d + dn

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-1a + an = a + 1d + -1a + dn

Reorder the terms:
-1a + an = a + -1a + 1d + dn

Combine like terms: a + -1a = 0
-1a + an = 0 + 1d + dn
-1a + an = 1d + dn

Reorder the terms:
-1a + an + -1d + -1dn = 1d + -1d + dn + -1dn

Combine like terms: 1d + -1d = 0
-1a + an + -1d + -1dn = 0 + dn + -1dn
-1a + an + -1d + -1dn = dn + -1dn

Combine like terms: dn + -1dn = 0
-1a + an + -1d + -1dn = 0

The solution to this equation could not be determined.

See similar equations:

| 0.12(y-6)+0.06y=0.80y-0.70 | | 16-n=4 | | -5(2t-2)+3t=4t-5 | | 0.3x+.03x+.003x+.0003x=3 | | 2/3x11 | | 0=-16t^2+48t+40 | | 0.8x-1.3=-3.1 | | 8m-18m=20 | | 8m-18=20 | | 2(x-2/3)=-18 | | -2p+19=13 | | t+25=14 | | 3+x=4x | | 2m=q-2w | | t^2+10+24=0 | | x(2)=196 | | q=2m+2wform | | (3-5i)x(3+5i)=0 | | x(2)=1.21 | | D-8/5 | | p=0.25q | | 39x-9c-2s=29x-35c-2s+9414 | | f/9-21=-23 | | f/9-21=-21 | | 4.5=b+12 | | 5n=-5v+s | | x(2)=900 | | 11=55(t) | | 250-r+48s-2(41-r(s-24))=195r+4(s-2r(21-4s)) | | 7w-13=15 | | 8+5(4x-5)=-35+2x | | 5.2q-3.1-5.8q=-1.6-3.2 |

Equations solver categories