Learning how to find the sum of an infinite geometric series

The video tutorial explains the concept of an infinite series, focusing on identifying the first term and determining the common ratio. It guides through simplifying expressions and adding fractions to calculate the sum of a geometric series, concluding with a final result of 2/3.

What is the first term in a geometric series often referred to as?

• a sub two

• S

• R

• a sub one

How do you determine the common ratio, R, in a geometric series?

• By subtracting the first term from the second term

• By dividing the second term by the first term

• By adding the first two terms

• By multiplying the first two terms

What is the result of dividing -1/2 by 1 in the context of this series?

• -1

• -1/2

• 1/2

• 0

How can you add a whole number to a fraction effectively?

• By converting the whole number to a fraction with the same denominator

• By dividing the whole number by the fraction

• By subtracting the fraction from the whole number

• By multiplying the whole number by the fraction

What is the sum of the geometric series calculated in the video?

• 3/4

• 1/3

• 2/3

• 1/2