INDUCTIVE & DEDUCTIVE REASONING Specifically, what type of reasoning is each person using, and who in your opinion makes a stronger argument? (a) Find a likely candidate for the next two numbers in the following sequence: 2,4,8... (b) Was your answer 16 and 32?How did you get that answer? Can you find a formula with variable n that provides the numbers in your sequence? (c) My answer is 14 and 22. How did I get that answer? Can you find a formula with variable n that provides the numbers in my sequence? (d) Fill in the following table by substituting the given values of n into the formula. Can you answer the the last question in part (c) now? Based on all parts of this problem, what can you conclude about findings a pattern when you have just a bit of information to use?
INDUCTIVE & DEDUCTIVE REASONING
Specifically, what type of reasoning is each person using, and who in your opinion makes a stronger argument?
(a) Find a likely candidate for the next two numbers in the following sequence: 2,4,8...
(b) Was your answer 16 and 32?How did you get that answer? Can you find a formula with variable n that provides the numbers in your sequence?
(c) My answer is 14 and 22. How did I get that answer? Can you find a formula with variable n that provides the numbers in my sequence?
(d) Fill in the following table by substituting the given values of n into the formula. Can you answer the the last question in part (c) now? Based on all parts of this problem, what can you conclude about findings a pattern when you have just a bit of information to use?
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