Two families of questions fall under Sequences and patterns.
Arithmetic sequences add the same amount each step, so the nth term equals the first term plus n minus one times the common difference; forgetting the minus one gives an answer one step too far, and that value is usually offered. Repeating cycles rely on remainders: in a pattern that repeats every four items, the fortieth item matches the fourth, because forty divides evenly by four.
Other questions show a short sequence and ask which rule, such as doubling and then adding one, produces every term. Testing a rule on every given term avoids false matches.
Sample questions
Pick an answer to see whether it is right — nothing is saved, and nothing needs an account.
Question 1Easier
In an auditorium, the first row has 12 seats. Each row after the first has 2 more seats than the row before it. How many seats are in the 10th row?
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Answer: C — 30
From row 1 to row 10, there are 9 increases. Each increase adds 2 seats, so the 10th row has 12+9×2=30 seats.
Question 2Easier
A sequence begins 2,8,32,128,…, with the same operation used to obtain each term from the preceding term. Which sequence uses that same operation between consecutive terms?
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Answer: C — 1,4,16,64,…
Each term in the given sequence is found by multiplying the previous term by 4 (2×4=8,8×4=32,32×4=128). Only 1,4,16,64,… is built by repeatedly multiplying by 4.
Question 3Easier
In a fictional town, the weather follows a strict 6-day repeating pattern, starting on Day 1: sunny, sunny, cloudy, rainy, cloudy, windy, and then the same six-day order repeats indefinitely. What is the weather on Day 50?
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Answer: B — sunny
Dividing 50 by the cycle length 6 gives a remainder of 2 (since 48=6×8), so Day 50 has the same weather as Day 2, which is sunny.
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