Bruce's worm will take total 7.4 days to get to the top of the well.
A sequence is an ordered list of numbers that often follow a specific pattern or function.
According to the given question.
Each day worm climbs up 7 feet, but each night it slides back down 2 feet.
Total number of feet the worm have to climb is 37.
On day one the worm climbs 7feet and slides slides 2 feet.
Therefore,
Total number of feet the worm climbs on day1 = 7 -2 = 5 feet
Similarly,
For day two, total number of feet worms climb on day2 = (5+7)-2 =10feet
Total number of feet worms climb on day on day 3 = (10 + 7) - 2 = 15 feet
So, we have a sequence 5, 10, 15, 20, 25....
This shows that worm climbs daily 5 feet.
Therefore, the number of days taken by worm to climb 37 feet
= 37/number of feet travel by worm each day
[tex]=\frac{37}{5}\\ =7.4 days[/tex]
Hence, Bruce's worm will take total 7.4 days to get to the top of the well.
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