Analyzing Sequences and Differences

The video tutorial explains how to determine if a sequence of numbers follows a pattern. Nada checks the first differences between numbers and finds they are not constant, indicating no linear relationship. She then explores the second differences, which are constant, revealing a pattern. The tutorial demonstrates how to calculate these differences and identify patterns in sequences.

What did Nada initially check to determine if the sequence of numbers followed a pattern?

• The ratio of the numbers

• The first difference between numbers

• The sum of the numbers

• The product of the numbers

Why did Nada conclude that the sequence was not linear?

• The sequence was too short

• The numbers were all even

• The first differences were not constant

• The numbers were all prime

What did Nada's teacher suggest checking to find a pattern in the sequence?

• The median of the sequence

• The average of the sequence

• The second difference

• The sum of the sequence

What is the first difference between the numbers 9 and 4?

• -4

• 5

• -5

• 4

What is the first difference between the numbers 10 and 14?

• 4

• -4

• 3

• -3

What pattern is revealed by the second differences?

• A constant pattern of -2

• A constant pattern of +3

• A constant pattern of -3

• A constant pattern of +2

What is the second difference between the first differences of -5 and -3?

• 2

• 3

• 0

• 1

What is the second difference between the first differences of -1 and 1?

• 4

• 3

• 2

• 1

What conclusion is drawn from the constant second difference?

• The sequence is logarithmic

• The sequence is exponential

• The sequence is quadratic

• The sequence is linear

What is the final answer for the constant second difference?

• Positive 3

• Negative 2

• Positive 2

• Negative 3