Emek and Luna entered an ancient temple where each chamber was guarded by stone tablets showing the numbers 9, 13, 17, and 21. Two possible rules were carved nearby, but only one matched every tablet. After comparing the patterns, they recognized that the numbers increased by 4 each time and wrote the expression 4n + 5, where n represented the tablet number starting at 1. They used the expression to predict the next value, which unlocked the next chamber. Repeating the process led them safely to the temple's hidden treasure room.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Look at how much the numbers increase each time.
The stone tablet numbers are 9, 13, 17, and 21. What is the next number in the pattern?
24252627Correct! The pattern increases by 4 each time, so the next number is 25.
Not quite. Find the common difference and continue the pattern.
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Hint
Substitute n = 9 into the expression 4n + 5.
The pattern is described by the expression 4n + 5, where n starts at 1. What number is on the 9th tablet?
Correct! The 9th tablet shows 41.
Try replacing n with 9 and evaluate the expression carefully.
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Hint
Test each expression using the first tablet, where n = 1.
A traveler claims that the expression 4n + 4 matches the tablet numbers. Which statement is correct?
The traveler is correct because both expressions increase by 4.The traveler is correct because the first tablet is 8.The traveler is not correct because when n = 1, 4n + 4 gives 8 instead of 9.The traveler is not correct because the pattern increases by 5.Correct! The rule 4n + 5 gives the first tablet as 9, but 4n + 4 gives 8.
Check which expression produces the first number in the pattern.
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