Arithmetic and Geometric Sequences and Series Formulas

Explicit Formula for Arithmetic Sequence

Explicit Formula for Geometric Sequence

Recursive Formula for Arithmetic Sequence

Recursive Formula for Geometric Sequence

Sum of Arithmetic Sequence

Sum of Arithmetic Sequence 2

Sum of Finite Geometric Sequence

Common Difference

a2-a1=a3-a2

Common Ratio

a2/a1 = a3/a2

Direct Common Difference

d = (ay-ax)/(y-x)

Direct Common Ratio

r to the power of y-x = ay/ax

Sum of Infinite Geometric Series (r is between -1 and 1)