Learn to find the rule of a sequence with alternating signs

The video tutorial explains how to handle alternating signs in sequences, emphasizing the use of negative values raised to the nth power to determine the sign of terms. It also covers how to manage fractions by breaking them into numerators and denominators, and discusses the implications of sequences starting with positive or negative numbers. The tutorial provides strategies for identifying patterns and rules in sequences, helping learners understand the underlying mathematical concepts.

What is the formula used to determine the sign of each term in a sequence with alternating signs?

• (-1)^(n+1)

• n + 1

• n^2

• (-1)^n

How do you determine the numerator in a sequence of fractions?

• By multiplying n by 2

• By adding 1 to n

• By subtracting 1 from n

• By dividing n by 2

What is the relationship between the term's position and its value in the denominator of a sequence of fractions?

• n - 1

• n / 2

• n * 2

• n + 2

If a sequence starts with a positive number, what must be true about n?

• n must be odd

• n must be even

• n must be prime

• n must be a multiple of 3

What adjustment can be made to the formula if a sequence starts with a positive number?

• Use n / 2

• Use n * 2

• Use n + 1

• Use n - 1