Star Numbers Sequence Calculator

Star Numbers Sequence Calculator calculator can be used to generate and analyze the sequence of Star Numbers, which follow the formula S_n = n*(2n-1), where n is a positive integer.

Input Parameters

Calculation Results

Calculation Formula

Star Number S_n = n*(2n-1)

Where:
n = term number
S_n = star number value

Sequence Results

Star Numbers Sequence Calculator Calculator Usage Guide

Learn how to use the Star Numbers Sequence Calculator and its working principles

What are Star Numbers?

Star Numbers form a sequence of figurate numbers that represent the number of points in a star-shaped pattern. The nth star number is given by the formula S_n = n*(2n-1), where n is a positive integer.

How to Use This Calculator

  1. Enter the number of terms you want to generate in the "Number of Terms to Generate" field. This determines how many star numbers will be calculated.
  2. Enter the starting term number in the "Starting Term (n)" field. This determines which term to begin the sequence from.
  3. Click the "Calculate" button to generate the star numbers sequence.
  4. The calculator will display the sequence of star numbers below the input fields.

Working Principle

The calculator uses the mathematical formula S_n = n*(2n-1) to calculate each star number in the sequence. For example, if you start with term 1, the first star number will be 1*(2*1-1) = 1, the second will be 2*(2*2-1) = 5, the third will be 3*(2*3-1) = 13, and so on.

Example

If you enter 5 as the number of terms to generate and 1 as the starting term, the calculator will display the first 5 star numbers: 1, 5, 13, 25, 41.