Sum of a GP Calculator

calculator, Sum of n terms of a GP

**Sum of n terms of a GP.** When the **first**, **ratio**, ** nth ** terms are given.\[S_n=\frac{a(r^n - 1)}{r - 1}\]

Sun of a GP calculator calculates the sum of n terms of a geometric progression (sum of a GP) with detailed worksheets.

The sum of n terms of a geometric progression (GP) is the total value obtained by adding up the first n terms of the sequence. In a GP, each term is found by multiplying the previous term by a constant ratio called the common ratio (r). The formula to calculate the sum of n terms of a GP is given by:

Sn = (a * (r^n - 1)) / (r - 1),

where Sn represents the sum, a is the first term, r is the common ratio, and n is the number of terms. This formula allows us to determine the sum of any number of terms in a geometric sequence efficiently. MathCrave sum of a GP calculator finds out the sum of n terms of geometric progression with detailed step by step worksheets.

To calculate sum of a n terms of a geometric progression, hen the n-term, first term, and ratio are given, follow these steps:

Determine the common ratio (r) by dividing the n-term by the first term.

Use the formula Sn = (a * (r^n - 1)) / (r - 1) to calculate the sum, where Sn is the sum, a is the first term, r is the common ratio, and n is the number of terms.

Let's solve an example to find the sum of n terms of a geometric progression.

**Step 1: Determine the common ratio**(r) = 3.

**Step 2: Use the formula**Sn = (a * (r^n - 1)) / (r - 1) to calculate the sum.

**Substituting the given values, we get**Sn = (2 * (3^5 - 1)) / (3 - 1).

**Simplifying further,**Sn = (2 * (243 - 1)) / 2 =

**242.**Therefore, the sum of the first 5 terms of the geometric progression is 242.

- AI Economics Solver Microeconomics
- AI Chemistry Solvers
- Welcome
- AI Math Solver
- Lost Pass
- MathCrave Math Sheets
- Confirm
- Step By Step Math Solver
- formula1
- AI Math Solvers
- AI Physics Thermodynamics Solver
- AI Chemistry: General Chemistry
- AI Physics Waves and Optics Solver
- Logarithms Solvers
- AI Physics Mechanics Solver
- Geometric Formulas, Common Shapes
- Income Calculator
- Quadratic Equation Calculator Worksheet
- Calculus Worksheets Generator
- Math Calculators
- Greek Math Symbols
- Mortgage Calculator
- Vector Cross Product Calculator
- Vector Addition Calculator
- Takt Time Calculator
- Sum of Infinite Geometric Series
- Sum of Harmonic Progression Series
- Sum of a GP
- Standard Deviation Calculator
- Quadratic Equation Problem Solver
- Regression Coefficients
- Profit and Loss Calculator
- Prime Number Calculator
- Permutation Solver
- Percentage Subtraction Calculator
- Percentage Quantity Calculator
- Percentage Multiplication Calculator
- Percentage of Calculator
- Percentage Increase Calculator
- Percentage Error Calculator
- Percentage Change Calculator
- Orthocenter of Triangle Calculator
- Multiplication Table Generator
- Mixed Number to Improper Fraction
- MidRange
- Matrix Subtraction Calculator
- Matrix Multiplication Calculator
- Matrix Addition Calculator
- Logarithms Rules
- Logarithms Product Rule
- Logarithms Number
- Logarithms Calculator With Steps
- Logarithms Base
- Logarithms - Indicial Equation Calculator
- Logarithm Power Rule
- Logarithm Rules, Quotient
- Log x Calculator
- Linear Equation Calculator
- Leap Year Calculator
- Inverse Proportion Calculator
- LCM HCF Prime Factorization Calculator
- Inverse 3 x 3 Matrix Solver
- Inverse of Matrix 2 by 2 Calculator
- Improper Fraction to Mixed Number
- Integration Solver
- GST Tax Calculator
- Graph Plotter Calculator
- Fractions Calculator
- Fraction Multiplication
- Fraction Division
- Fraction Addition, Subtraction
- Express as Percentage
- EMI Calculator
- Effective Interest Rate Calculator
- Dot Product Two Dimensional
- Dot Product Calculator
- Correlation Coefficients Calculator
- Currency Converter
- Determinant of a 3x3 Matrix Calculator
- Convert Spherical to Cylindrical
- Direct Proportion Calculator
- Convert Cartesian to Cylindrical
- Conversion Calculator
- Compound Interest Calculator
- Combination Solver
- Complex Numbers Solver
- Circumcenter of a Triangle
- Calculus Step by Step
- Calculus Calculator
- BMI Calculator
- Arithmetic Progression Terms Calculator
- Area of Polygon Solver
- Apothem of Pentagon
- Angle Plotter Calculator
- Angle of Elevation Solver
- Angle of Depression Solver
- Angle between Vectors in 3D
- Angle Between Two Vectors in a 2D
- 2 by 2 Matrix Determinants Calculator
- AI Hyperbolic Functions Solver
- AI Binomial Series
- Math
- AI Partial Fractions Solver
- AI Inequalities Solver
- AI Polynomial Division Solver
- About Mathcrave
- Privacy Policy
- AI Simultaneous Equations Solver
- AI Physics Quantum Mechanics Solver
- AI Physics Electricity and Magnetism Solver
- AI Transpose Formulae Solver
- AI Linear Equation Solver
- AI Powers and Roots Solver
- MathCrave AI Fractions
- Contact Us
- Calculators
- AI Calculators, Over 100 AI Calculator
- AI Ratio and Proportions Solver
- AI Decimals Solver
- AI Fraction Solver
- AI Basic Arithmetic Solver
- Volume of a Cylinder Calculator

Mathcrave is an online math solver offering a wide range of free math worksheets on calculus, algebra, physics and more for free,

©2023 MathCrave- All rights reserved

Enter math expression in the box below