Learn how to write a geometric sequence in summation notation

The video tutorial explains how to write a geometric sequence in summation notation. It begins by introducing the concept of summation notation and its components, including the initial term, upper limit, and NTH rule. The tutorial then guides viewers through determining the rule for the sequence and calculating the common ratio using specific terms. Finally, it demonstrates how to finalize the sequence in summation notation.

What is the purpose of using summation notation in sequences?

• To divide a series of numbers

• To multiply a series of numbers

• To subtract a series of numbers

• To simplify the process of adding a series of numbers

How many terms are there in the given sequence?

• Five

• Three

• Four

• Six

What is the first term (a1) of the sequence?

• 1/6

• 4

• 2/3

• 1

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

• Subtract the first term from the second term

• Add the first two terms

• Divide a term by its preceding term

• Multiply the first two terms

What is the common ratio (r) for the sequence in the video?

• 1/6

• 2/3

• 4

• 12