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 t_10 and t_15.
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∞.
Summation Formulas video for the Geometric Series can be viewed here: [ Ссылка ]
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: [ Ссылка ]
Follow me on Twitter! twitter.com/MasterWuMath
