| Term | Definition |
| i | n(n+1) divided by 2 |
| i^2 | n(n+1)(2n+1) divided by 6 |
| i^3 | n^2(n+1)^2 |
| nth term of arithmetic sequence | a1 + (n-1)d |
| Sum of first n terms of an arithmetic sequence | n/2(a1+an) or N/2(2a1 + (n - 1)d) |
| nth term of geometric sequence | a1r^(n-1) |
| sum of first n terms of geometric sequence | a1(1-r^n) divided by 1 - r r not equal to 1 |
| sum of terms of an infinite sequence | a1 divided by 1 - r -1<r<1 |
| binomial coefficient | n! divided by r!(n - r)! |
| binomial theorem | nC(n-1)x |
| kth therm of binomial expansion | (nC(k - 1))x^(n-(k-1)) y^(k-1) |