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mihalych1998 [28]
3 years ago
5

Find an explicit rule for the nth term of the sequence. 9, 36, 144, 576, ...

Mathematics
2 answers:
PolarNik [594]3 years ago
6 0
Well if you divide 9 by 36 you get 4. Then 144 by 36 you get 4. Therefore the rule is that you multiply the number by 4. 9x4=36 36x4=144 144x4=576 576x4=2,304. Hope this helps.
Gemiola [76]3 years ago
6 0

The answer is  an = 9 • 4n - 1

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Answer:


Step-by-step explanation:

Note that the squaring function and the square root function are inverses of one another.  If we make a list of perfect squares, we get {1, 4, 9, 16, 25, ...}.  Then the square roots of these numbers are {1, 2, 3, 4, 5, ... }.

Continue making a table of values to plot.  The first row has x=0, y=0; this reflects that the sqrt of 0 is 0.

Fill the first (x-) column with perfect squares and the second (y-) column with the square roots of these perfect squares:

x   y

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Now plot the following on the graph:  (1,1), (4,2), (9,3), ....  

Starting at (0,0) and moving to the right (indicating increases in x), plot these  points.  (You'll soon run out of room.)  Draw a smooth curve from (0,0) to connect these points.  The result is a graph of the square root function.

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Read 2 more answers
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