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Question 250317: Use inductive reasoning to describe the pattern. Then find the next two numbers in each pattern. 3, 3.3, 3.63, 3.993,...
Answer by drk(1908)   (Show Source):
You can put this solution on YOUR website! Here is our set of numbers: 3, 3.3, 3.63, 3.993,...
we can't add or subtract to go from one term to the next, so we have to use multiplication or division. We will use common ratios to find our multiplier.
t2 / t1 = 3.3 /3 = 1.1
t3 / t2 = 3.63 / 3.3 = 1.1
t4 / t3 = 3.993 / 3.63 = 1.1.
I now know we have an infinite geometric series.
The pattern is multiply each term by 1.1 to get the next term.
t5 = 3.993 * 1.1 = 4.3923
t6 = 4.3923 * 1.1 = 4.83153
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