| Term | Definition |
| x1=a, x(n+1)=xn+d | Arthmatics sequence ( n=1,2,...) |
| xn=a+(n-1)d | Arthmatics sequence with closed form ( n=1,2,...) |
| xn=a+nd | Arthmatics sequence with closed form ( n=0,1,2,...) |
| x0=a, x(n+1)=xn+d | Arthmatics sequence ( n=0,1,2,...) |
| x1=a, x(n+1)=r*xn | Geometric sequence(n=1,2,3,...) |
| xn=a*r^(n-1) | Geometric sequence with closed form (n=1,2,3,...) |
| xn=a*r^n | Geometric sequence with closed form (n=0,1,2,...) |
| x0=a, x(n+1)=r*xn | Geometric sequence (n=0,1,2,...) |
| x1=a, x(n+1)=r*xn+d | Linear recurrence sequence (n=1,2,3,...) |
| xn=(a+(d/(r-1)))*r^(n-1)-(d/(r-1)) | Linear recurrence sequence with closed form (n=1,2,3,...) r=/=1 |
| x0=a, x(n+1)=r*xn+d | Linear recurrence sequence (n=0,1,2,...) |
| xn=(a+(d/(r-1)))*r^(n)-(d/(r-1)) | Linear recurrence sequence with closed form (n=0,1,2,...) r=/=1 |