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  • John Rhodes
  • July 6, 2023
  • Arithmetic

Calculating the Population Growth: Step-by-Step Guide to Determine the Population After Six Years

Initial population of 600 penguins triples in size each year for six years. Find size of population after six years To find the size of the population...
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  • John Rhodes
  • July 6, 2023
  • Arithmetic

Finding the Sum of the First 30 Odd Natural Numbers Using Arithmetic Series Formula

Find sum of first 30 odd natural numbers ( 1+3+…+59) To find the sum of the first 30 odd natural numbers, which are 1, 3, 5, 7,...
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  • John Rhodes
  • July 6, 2023
  • Arithmetic

Exploring the Concept of Common Difference in Arithmetic Sequences and Progressions

Common Difference d In mathematics, the term “common difference” refers to the constant difference between any two consecutive terms in an arithmetic sequence or progression In mathematics,...
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  • John Rhodes
  • July 6, 2023
  • Arithmetic

Understanding the Common Ratio in Geometric Sequences: An Essential Guide for Math Enthusiasts

Common Ratio r In mathematics, the term “common ratio” refers to the constant value by which each term of a geometric sequence is multiplied to obtain the...
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  • John Rhodes
  • July 6, 2023
  • Arithmetic

How to Find the Explicit Formula for an Arithmetic Sequence: Step-by-Step Guide

Explicit Formula for Arithmetic Sequence To find the explicit formula for an arithmetic sequence, we need two pieces of information: the first term (a₁) and the common...
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  • John Rhodes
  • July 6, 2023
  • Arithmetic

Calculating the nth term of a geometric sequence using the explicit formula with an example

Explicit Formula for Geometric Sequence The explicit formula for a geometric sequence is given by: an = a1 * r^(n-1) where: – an represents the nth term...
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  • John Rhodes
  • July 6, 2023
  • Arithmetic

Calculating the Infinite Sum of a Geometric Sequence: Formula and Examples

The Geometric Sequence Infinite Sum To find the infinite sum of a geometric sequence, we need to understand what a geometric sequence is To find the infinite...
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  • John Rhodes
  • July 6, 2023
  • Arithmetic

How to Find the Sum of a Finite Geometric Sequence: Step-by-Step Guide + Example Problem

The Geometric Sequence Finite Sum To compute the sum of a finite geometric sequence, we can use the formula: Sn = a(1 – r^n) / (1 –...
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