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[DTube] Example Problem Solving Exercises for Geometric Series

BY: @masterwu | CREATED: Jan. 24, 2019, 1:50 p.m. | VOTES: 373 | PAYOUT: $2.73 | [ VOTE ]

I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain.

In this video, I take you through 3 worked solutions of text book problems involving the sum formulas for the Geometric Series.

Problem 1:

For the infinite geometric sequence {1/2, 1/4, 1/8, . . .}, find the sum to infinity. Consequently, find what proportion each of the first three terms contributes to this sum as a percentage.

Problem 2:

A sequence of numbers is defined by tn: {9, −3, 1, . . .}.
a) Find the sum of the first 9 terms.
b) Find the sum of all the terms between and including t10 and t15.
c) Find the sum to infinity, S∞.

Problem 3:

For the geometric sequence √5 + √3, √5 - √3, . . ., find the common factor, r, and the sum of the infinite series, S∞.

Sequences & Series

What are Geometric Sequences?

Modelling Price Inflation with Geometric Sequences

Geometric Sequences: Find the 4th term given the 7th term

Geometric Sequences: Find the first term and common ratio

Geometric Sequences: The Geometric Mean

Geometric Series: Deriving the Summation Formulas

Example Problem Solving Exercises for Geometric Series

Thanks for watching. Please give me a "thumbs up" if you have found this video helpful.

Please ask me a maths question by commenting below and I will try to help you in future videos.

I would really appreciate any small donation which will help me to help more math students of the world. Please donate here: https://paypal.me/MasterWu

▶️ DTube ▶️ IPFS

TAGS: [ #dtube ] [ #steemstem ] [ #teamaustralia ] [ #mathematics ] [ #algebra ]

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@steemstem | Jan. 24, 2019, 11:14 p.m. | Votes: 1 | [ VOTE ]

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