Mathematical series | Articles containing proofs | Sequences and series
In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. For example, the sequence 2, 6, 18, 54, ... is a geometric progression with common ratio 3. Similarly 10, 5, 2.5, 1.25, ... is a geometric sequence with common ratio 1/2. Examples of a geometric sequence are powers rk of a fixed non-zero number r, such as 2k and 3k. The general form of a geometric sequence is where r ≠ 0 is the common ratio and a ≠ 0 is a scale factor, equal to the sequence's start value. The distinction between a progression and a series is that a progression is a sequence, whereas a series is a sum. (Wikipedia).
Geometric progression
From playlist PIXL PPE Paper 2 June 2016 Higher Tier AQA Style Worked Solutions
Intro to Geometric Progressions (1 of 3: Definitions)
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From playlist Modelling Financial Situations
What is the definition of a geometric sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
Series & Sequences Introduction (3 of 3: Geometric Progressions)
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From playlist Modelling Financial Situations
How to determine the rule for a geometric sequence given two values
👉 Learn how to write the explicit formula for a geometric sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. A geometric sequence is a sequence in which each term of the sequence is obtained by multi
From playlist Sequences
Intro to Geometric Progressions
More resources available at www.misterwootube.com
From playlist Modelling Financial Situations
This video introduces geometric series. http://mathispower4u.yolasite.com/
From playlist Series (Algebra)
Learn how to determine the sum of a geometric finite series
👉 Learn how to find the geometric sum of a series. A series is the sum of the terms of a sequence. A geometric series is the sum of the terms of a geometric sequence. The formula for the sum of n terms of a geometric sequence is given by Sn = a[(r^n - 1)/(r - 1)], where a is the first term
From playlist Series
How to find the first five terms of a geometric sequence
👉 Learn how to find the first 5 terms of a geometric sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. A geometric sequence is a sequence in which each term of the sequence is obtained by multiplyin
From playlist Sequences
What is a geometric progression? - Week 1 - Lecture 6 - Sequences and Series
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From playlist Ohio State: Calculus Two with Jim Fowler: Sequences and Series | CosmoLearning Mathematics
Arithmetic Progression and Geometric Progression | Don't Memorise | (GMAT/GRE/CAT/Bank PO/SSC CGL)
Arithmetic Progression (AP) and Geometric Progression (GP) - Both super important concepts explained in this video. To learn more about Arithmetic Progression, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_c
From playlist Arithmetic Progression Class 10
IMS Public Lecture: Butterflies, Cats, and Billiards in Polygons
Anton Zorich, Université Paris Diderot - Paris 7, France
From playlist Public Lectures
Sum of a finite GP (geomtric progression)
Support me on Patreon: https://www.patreon.com/mathsaurus This video explains how to add together the terms of a geometric sequence, demonstrating and explaining the formula used. Visit http://www.mathsaurus.com/ for more free GCSE and A-level maths videos and resources Visit the Mat
From playlist C1 C2 Sequences APs and GPs
The sum of a series is the limit of its partial sums -- Calculus II
This lecture is on Calculus II. It follows Part II of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.
From playlist Calculus II
Discrete Math II - 8.2.1 Solving First-Order Linear Homogeneous Recurrence Relations
We take another look at First-Order Linear Homogeneous Recurrence relations (and what exactly all of that means). We took our first look in section 8.1 by using back substitution and iteration. In this video we look at one example using both methods, then dive into further detail on how to
From playlist Discrete Math II/Combinatorics (entire course)
Sum to infinity of a GP (geometric progression)
Explains how to find the sum of an infinite geometric sequence, including how to use the formula as well as when and why it is valid. ______________________________________ Free online maths challenge courses: Primary (age 9-11): https://bit.ly/primarymathschallenge Junior (age 10-13):
From playlist C1 C2 Sequences APs and GPs
Write the first five terms of the geometric sequence
👉 Learn how to find the first 5 terms of a geometric sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. A geometric sequence is a sequence in which each term of the sequence is obtained by multiplyin
From playlist Sequences
Arithmetic Progression And Geometric Progression With Examples (AP & GP) | Simplilearn
This video covers the fundamentals of arithmetic progression and geometric progression. It explains how to calculate the nth term of a sequence and the sum of the n terms. There are also a few numerical problems. 🔥Free Data Science Course with Completion Certificate: https://www.simplilea