A

**geometric sequence**is a list of numbers where each term is obtained by multiplying the previous term by a constant, often denoted*r*.To find the sum of a given geometric sequence as well as the n

^{th}term in the sequence, simply fill in the necessary values below and then click the “Calculate” button.**a _{5}** (the value of the 5

^{th}term) = 405

**s _{5}** (the sum of the first 5 terms) = 605

**Formulas used:**

**a _{n}** (the value of the n

^{th}term) = a

_{1}* r

^{n-1}

**s _{n}** (the sum of the first n terms) = a

_{1}* (1 – r

^{n}) / (1 – r)