Math Formulas Memorization

Explicit Formula for Arithmetic Sequence

A_n = a_1 + (n-1)d, used to find any specific term (n) without knowing the previous terms.

Finite Sum (Partial Sum) for Arithmetic Sequence

S_n = (n/2)(a_1 + A_n), used to find the total of the first n terms.

Explicit Formula for Geometric Sequence

A_n = a_1 × R^(n-1), used to find the n-th term.

Recursive Formula for Geometric Sequence

A_n = A_{n-1} × R, used to find a term based on the previous term.

Finite Sum (Partial Sum) for Geometric Sequence

S_n = (a_1)(1 - r^n) / (1 - r), used for a set number of terms.

Infinite Sum for Geometric Series

S_{infinite} = A_1 / (1 - R), applicable when |R| < 1.