[DTube] Example Problem Solving Exercises for Geometric Series

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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 t_n: {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_∞.

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Sequences & Series

1. What are Geometric Sequences?
2. Modelling Price Inflation with Geometric Sequences
3. Geometric Sequences: Find the 4th term given the 7th term
4. Geometric Sequences: Find the first term and common ratio
5. Geometric Sequences: The Geometric Mean
6. Geometric Series: Deriving the Summation Formulas
7. Example Problem Solving Exercises for Geometric Series

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