A line of forest signal towers sent important messages between distant camps, but one tower had stopped working. Emek and Luna examined the signal numbers recorded for the towers: 11, 16, 21, 27, and 31. They noticed that the pattern should increase by 5 each time and wrote the expression 5n + 6, where n represented the tower number starting at 1. Testing the expression showed that the fourth tower should display 26, not 27. After correcting the faulty signal, every tower matched the rule, and communication was restored along the entire forest trail.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Start from 21 and add 5.
According to the rule that the signal numbers increase by 5 each time, which number should replace the incorrect fourth tower signal?
25262728Correct! The fourth tower should display 26.
Not quite. Continue the pattern by adding 5 to the previous correct signal.
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Hint
Substitute n = 7 into the expression 5n + 6.
Using the expression 5n + 6, where n starts at 1, what signal number should the 7th tower display?
Correct! The 7th tower should display 41.
Try replacing n with 7 and then evaluate the expression carefully.
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Hint
Use the expression with n = 5.
After the fourth tower is corrected, a hiker says the fifth tower should also be changed because it should be 32 instead of 31. What is the best response?
The hiker is correct because the pattern increases by 6.The hiker is not correct because the fifth tower should be 31 according to the rule 5n + 6.The hiker is correct because 31 is too small.The hiker is not correct because the fifth tower should be 30.Correct! The expression gives 31 for the fifth tower, so no change is needed.
Check the value of the expression when n = 5 before deciding.
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