While exploring deep in the forest, Emek and Luna discovered a trail marked with numbered signs: 7, 10, 13, and 16. A note explained that only hikers who understood the rule could find the hidden campsite. They noticed that each number increased by 3 and described the pattern with the expression 3n + 4, where n was the marker number starting at 1. Using the expression, they predicted the next trail markers before continuing. Every prediction matched the signs they found, leading them safely to the hidden campsite before sunset.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Look at how much the numbers increase each time.
The trail markers follow the pattern 7, 10, 13, 16. What is the next trail marker?
17181920Correct! The pattern increases by 3 each time, so the next number is 19.
Not quite. Find the difference between consecutive trail markers and continue the pattern.
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Hint
Substitute n = 8 into the expression 3n + 4.
The trail rule is given by the expression 3n + 4, where n starts at 1. What number is on the 8th trail marker?
Correct! The 8th trail marker is 28.
Try replacing n with 8 in the expression and then calculate.
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Hint
Use the expression with n = 6.
Emek says the 6th trail marker is 21. Luna uses the expression 3n + 4 to check. What should Luna conclude?
Emek is correct because 3 × 6 + 4 = 21.Emek is not correct because the 6th marker is 20.Emek is not correct because the 6th marker is 22.Emek is correct because the pattern increases by 4.Correct! Substituting n = 6 gives 3 × 6 + 4 = 22?
Check the calculation using the expression 3n + 4.
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