Pattern Recognition and Sequence Logic
Medium-difficulty multiple-choice quiz on numeric patterns, growth rules, and reasoning strategies based on doubling and related sequences.
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Quiz Questions & Answers
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Question 1: What number comes next in the sequence: 2, 4, 8, 16, ?
20
36
32
24
Question 2: Which description best defines the rule behind 2, 4, 8, 16?
Square each previous term
Alternate add and multiply
Multiply each term by 2
Add 2 to each term
Question 3: If the sequence continues doubling, which term is 128?
7th term
6th term
8th term
5th term
Question 4: Which real-world scenario best matches the sequence's growth?
Linear salary raises of $2 each year
Compound interest with frequent compounding at 100% rate
Adding one new user each day
Depreciation by fixed percentage under 10%
Question 5: Which mistake would lead someone to pick 24 as the next term?
Misreading the digits visually
Assuming an additive rule instead of multiplicative
Choosing random plausible value
Applying prime-number logic
Question 6: How would you express the nth term formula for this sequence starting at n=1?
a_n = 2^(n-1)
a_n = 2n
a_n = 2^(n)
a_n = n^2
Question 7: Which short strategy helps quickly identify the rule for sequences like this?
Assume arithmetic progression
Only test prime factors
Compare sums of digit places
Check ratios between terms
Question 8: If a student argues the rule is 'double then subtract 0', what critical evaluation is correct?
It suggests a random adjustment each term
It implies an alternating pattern
Subtracting zero changes future terms
It's a tautology and doesn't offer a simpler rule than 'multiply by 2'