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course mth151
006. `Query 6
Question: `qQuery 1.1.4 first 3 children male; conclusion next male. Inductive or deductive?
Your solution: this is inductive. Inductive reasoning tries to create general principles by starting with many specific instances.
confidence rating #$&*: very confident
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Question: `qQuery 1.1.8 all men mortal, Socrates a man, therefore Socrates mortal.
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: deductive - Deductive reasoning can be described as reasoning of the form if A then B.
confidence rating #$&*: very confident
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Question: `qQuery 1.1.20 1 / 3, 3 / 5, 5/7, 7/9, ... Probable next element.
Your solution:
1 / 3, 3 / 5, 5/7, 7/9,
9/11 is the probable next element derived from the pattern above
confidence rating #$&*: very confident
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Question: `qQuery 1.1.23 This problem wasn't assigned, but you should be able to make a good attempt: 1, 8, 27, 64, ... What is the probable next element?
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution:
1, 8, 27, 64 - did not get this one
1*1
confidence rating #$&*: none
&#Your response did not agree with the given solution in all details, and you should therefore have addressed the discrepancy with a full self-critique, detailing the discrepancy and demonstrating exactly what you do and do not understand about the parts of the given solution on which your solution didn't agree, and if necessary asking specific questions (to which I will respond).
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Question: `qQuery 1.1.36 11 * 11 = 121, 111 * 111 = 12321 1111 * 1111 = 1234321; next equation, verify.
Your solution: 123454321
confidence rating #$&*: very confident. looked at the pattern and then used a calculator
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Question: `qDo you think this sequence would continue in this manner forever? Why or why not?
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: pattern continues until the 10th iteration. at that point the product becomes 1234567900987654321 and the pattern is destroyed
confidence rating #$&*: very confident
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Question: `qQuery 1.1.46 1 + 2 + 3 + ... + 2000 by Gauss' method
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution:
1+2000 = 200`
2+`1999 = 2001
3+1998 = 2001
this continues 1000 times--> 2001 * 1000 = 2001000
confidence rating #$&*: very confident
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Question: `qQuery 1.1.57 142857 * 1, 2, 3, 4, 5, 6. What happens with 7? Give your solution to the problem as stated in the text.
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution:
142857*1 = 142857
142857*2 = 285714
142857*3 = 428571
142857*4 = 571428
142857*5 = 714285
142857*6 = 857142
142857*7 = 999999
From 1 to 6, the products consists of all the same numbers used in different order. When you get to 7 the product breaks the patterm
confidence rating #$&*: very confident
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Question: `qWhat does this problem show you about the nature of inductive reasoning?
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Your solution: inductive reasoning would indicate that the same pattern would continue based on previous examples. However, if you cannot see the results of all patterns, you cannot verify that the results of inductive reasoning is correct. Therefore, it is not really an accurate method.
confidence rating #$&*: very confident"
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