Number Sequences and Patterns
Medium-level multiple-choice quiz on recognizing sequences, deriving nth terms, inverting position/value problems, diagram rules, and exam-efficient habits based on the provided transcript summary.
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Quiz Questions & Answers
Review every prompt, the correct responses, and helpful context to prep for your own run-through.
Question 1: Which of the following definitions best matches a triangular number sequence?
Each term is the sum 1 + 2 + ... + n
Each term equals n squared
Each term equals the sum of the two previous terms
Each term is twice the previous term
Question 2: You suspect a sequence is arithmetic. Which quick check from two consecutive terms confirms this?
Compute their difference and see if it's constant
Check if terms grow like n squared
Divide the later term by the previous term
See if each term equals the sum of prior two
Question 3: An arithmetic sequence starts 7, 11, 15, ... What is the nth term in the linear form an + b?
7n - 4
4n + 3
4n + 7
n^2 + 6
Question 4: Given the arithmetic nth-term formula 6n − 2, for which n does the term equal 70?
n = 11
n = 13
No integer solution
n = 12
Question 5: A sequence of figure perimeters follows P(n) = 6n − 2. Which interpretation aligns with the transcript guidance?
Perimeter always grows quadratically with n
List perimeters for many figures until finding a match
Map figure index n to perimeter algebraically, then solve or invert as needed
Use Fibonacci recursion to model the perimeters
Question 6: Which approach best extracts a pattern like 3n + 2 from a term given as n + 2 + 2n?
Assume the pattern is exponential
Compute several numeric terms before simplifying
Combine like terms algebraically to simplify to standard linear form
Apply recursive Fibonacci logic
Question 7: What's the best exam-time habit recommended to solve large-index sequence questions efficiently?
Rely on pattern memory without checking n=1
Convert every sequence to Fibonacci form
Always list at least the first twenty terms
Derive the nth-term and use algebra instead of listing terms