# Power Series Calculator

## Now, What Exactly Is A “Power Series Calculator”?

A power series calculator is a tool that helps you find the value of a certain variable in an infinite series by using the power series formula.

## Power Series Calculator with steps

This is a very simple tool for Power Series Calculator. Follow the given process to use this tool.

☛ Step 1: Enter the complete equation/value in the input box i.e. across “Provide Required Input Value:”

☛ Step 2: Click “Enter Solve Button for Final Output”.

☛ Step 3: After that a window will appear with final output.

## Formula for power series

A power series is a mathematical series in which each term is a power of a certain number. The most common type of power series is a geometric series, in which each term is a multiple of the previous term.

Formula for geometric series

A geometric series is a mathematical series in which each term is a multiple of the previous term. The most common type of power series is a geometric series, in which each term is a multiple of the previous term.

Formula for sum of a geometric series

To calculate the sum of a geometric series, multiply the first term by the common ratio and add the results.

S = a*r + a*r^2 + a*r^3 + …

Where S is the sum of the series, a is the first term, and r is the common ratio.

## Power Series Definition

A power series is a mathematical series that is used to approximate a function. The power series is a sum of terms, each of which is a power of the independent variable.

## Example of power series based on Formula

The power series is given by the formula:

P(x) = a0 + a1x + a2x2 + a3x3 + …

where a0, a1, a2, a3, … are the coefficients of the power series and x is the variable.

For example, if the power series is P(x) = 1 + 2x + 3×2 + 4×3 + …, then the coefficient of x2 is a2 = 3.