Ogt Math Study Guide Worksheet With Answers - Maple Heights City Schools Page 11
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31In a sequence of numbers complete the pattern by finding a
formula (nth term) that satisfies the sequence.
ex.
Day
1
2
3
4
5
8
Number of
3
9
27
81
?
?
Mushrooms
• What formula can I put 1(day) into to get 3(# of mushrooms); 2
into to get 9, etc…?
Clue- the number of mushrooms are all a multiple of 3.
We say
n
1
st
nth term = 3
→
3
=3
“3 to the 1
power”
2
nd
3
=9 (3x3)
“3 to the 2
power”
3
rd
3
=27 (3x3x3)
“3 to the 3
power”
5
what is the nth term when n=5? 3
= ?
5
use your calculator to do powers 3
= 3x3x3x3x3=243
on day 5 there will be 243 mushrooms.
8
for day 8 → 3
= 3x3x3x3x3x3x3x3=6561
make sure you let the calculator do the work for you. Especially
20th
for really large numbers! Day 20?! 3
power=
Solving linear equations
11
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