How to determine the sum of an infinite geometric series

The video tutorial explains how to find the sum of an infinite geometric sequence using a specific formula. It begins by identifying the first term and the common ratio of the sequence. The tutorial then demonstrates how to calculate the common ratio and apply the values into the sum formula. Finally, it shows how to simplify the expression to arrive at the final sum.

What is the formula used to find the sum of an infinite geometric sequence?

• Sum = a1 / (1 - R)

• Sum = a1 * (1 - R)

• Sum = a1 - R

• Sum = a1 + R

How do you calculate the common ratio (R) in a geometric sequence?

• R = a1 * a2

• R = a3 / a1

• R = a2 / a1

• R = a1 / a2

If the first term of a sequence is 3 and the common ratio is -1/3, what is the sum of the infinite geometric sequence?

• 9/4

• 3/4

• 4/3

• 1/3

What happens to the denominator when simplifying the sum of an infinite geometric sequence?

• It is multiplied by the reciprocal

• It remains unchanged

• It becomes zero

• It is added to the numerator

Why is it important to apply parentheses in the formula for the sum of an infinite geometric sequence?

• To make the formula look neat

• To avoid division by zero

• To ensure the correct order of operations

• To separate the terms