You visit Zion National Park and drop a penny into the canyon. The distance the penny will fall is 20 feet the first second, 32 feet the next second, 44 feet the third second, and so on in a sequence.
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Question 1
1.
Is the sequence arithmetic or geometric?
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Question 2
2.
What is the common difference?
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Question 3
3.
Write the explicit rule for the penny sequence.
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Question 4
4.
Write the recursive rule for the penny sequence.
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Question 5
5.
What is the distance that the penny will fall in JUST the 6th second?
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Question 6
6.
The zombies are back! 30 zombies dug themselves out of the ground and each one "turns" 7 new people into a zombie. Each new zombie also "turns" 7 new people per day.
How many zombies will there be on the 11th day? (just the 11th day, not total)
Hint: it's a really big number
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Question 7
7.
The zombies are back! 30 zombies dug themselves out of the ground and each one "turns" 7 new people into a zombie. Each new zombie also "turns" 7 new people per day.
How many TOTAL zombies will there be after 11 days?
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Question 8
8.
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Question 9
9.
Given the recursive rule, write the first 4 terms of the sequence.
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Question 10
10.
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Question 11
11.
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Question 12
12.
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Question 13
13.
Remember to type in the calculator, click ALPHA -> Y= -> ENTER.
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Question 14
14.
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Question 15
15.
Write an explicit rule.
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Question 16
16.
Write a recursive rule.
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Question 17
17.
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Question 18
18.
Find the sum of the geometric series.
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Question 19
19.
Find the number of terms in the geometric series.
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Question 20
20.
Write an explicit rule for the sequence.
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Question 21
21.
How many dots will there be at 20 minutes? (not total, just at 20 minutes)
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Question 22
22.
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Question 23
23.
Use t as your variable and start with g(t)=
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Question 24
24.
Match each recursive formula with its equivalent explicit formula.
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Question 25
25.
Given a term in a sequence, and the common difference, find the first term.
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Question 26
26.
Given a term in a sequence, and the common ratio, find the first term.