Problem Style Questions for Sequences

This video tutorial explores common problem types related to sequences, including consecutive term problems, working backwards in sequences, and determining if a value is a term in a sequence. The tutorial provides step-by-step solutions and emphasizes the importance of interpreting mathematical information logically.

What is the main challenge when solving sequence problems according to the introduction?

• Applying a known formula repeatedly

• Calculating terms quickly

• Memorizing all possible sequences

• Thinking logically and interpreting questions

In a sequence where the nth term is given by 2n - 1, what is the sum of the 6th and 7th terms?

• 24

• 22

• 20

• 26

How do you label consecutive terms in a sequence problem?

• Using random numbers

• Using x and x+1

• Using a and b

• Using n and n+2

What is the first term of a sequence if the third term is 67 and the rule is 'multiply by 3 then add 1'?

• 8

• 7

• 6

• 5

What operation is performed first when working backwards in a sequence?

• Division

• Multiplication

• Subtraction

• Addition

If a sequence is defined by 2n^2 - 15, is 45 a term in the sequence?

• No, because 45 is less than 50

• Yes, because 45 is a perfect square

• No, because the solution for n is not an integer

• Yes, because 45 is a multiple of 5

What must be true for a value to be a term in a sequence defined by an nth term formula?

• The value must be even

• The solution for n must be a positive integer

• The value must be a multiple of 10

• The value must be less than 100