course Mth 151 Sorry this is late! ???????????assignment #008008. Arithmetic Sequences
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23:39:45 `q001. There are seven questions in this set. See if you can figure out a strategy for quickly adding the numbers 1 + 2 + 3 + ... + 100, and give your result if you are successful. Don't spend more than a few minutes on your attempt.
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RESPONSE --> 100 divided by 2 = 50 1+100=101 2+99=101 3+98=101 50 X 101=5050 confidence assessment: 2
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23:42:18 `q002. See if you can use a similar strategy to add up the numbers 1 + 2 + ... + 2000.
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RESPONSE --> 2000 divided by 2= 1000 1000 mult. by 2001=2,001,000 confidence assessment: 2
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23:45:49 `q003. See if you can devise a strategy to add up the numbers 1 + 2 + ... + 501.
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RESPONSE --> 501 divided by 2 = 250.50 501,1 500,2 499,3 the sum is 125,751 confidence assessment: 1
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23:49:21 `q004. Use this strategy to add the numbers 1 + 2 + ... + 1533.
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RESPONSE --> 1533,1 1532,2 1531,3 1533 divided by 2=766.50 766.50 mult. by 1534= 1,175,811 confidence assessment: 3
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23:53:45 `q005. Use a similar strategy to add the numbers 55 + 56 + ... + 945.
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RESPONSE --> 945,55 944,56 943,57 945 divide by 2= 472.5 472.5 mult by 1000= 472,500 confidence assessment: 1
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23:59:55 `q006. Devise a strategy to add the numbers 4 + 8 + 12 + 16 + ... + 900.
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RESPONSE --> 900 divided by 2=450 900-4+1=897 897 mult. by 450= 403,650 confidence assessment: 3
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00:04:35 `q007. What expression would stand for the sum 1 + 2 + 3 + ... + n, where n is some whole number?
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RESPONSE --> n divied by 2=y y mult. by n +1= the sum confidence assessment: 1
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??x????~???????l?assignment #011 011. How many triangles? Liberal Arts Mathematics I 10-02-2007
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00:08:46 `q001. . There are five questions in this set. Draw four points in a square pattern (i.e., if the points were properly connected, they should form a square). From each of the points, draw a straight line to each of the other points. How many lines did you draw?
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RESPONSE --> I drew 4 line confidence assessment: 1
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00:10:56 Each corner of the square will connected to each of the other three corners, so from each corner you would have drawn three lines. Since there are four corners, had you followed the instructions precisely you would have drawn 4 * 3 = 12 lines. However each of these lines will be identical with another line you would have drawn, since for any two corners you would be drawing a line from the first to the second then another overlapping line from the second to the first. Therefore you might have said that there are 6 lines.
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RESPONSE --> I see now 4*3=12 for a square/cube self critique assessment: 3
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00:15:27 `q002. How many triangles are there in the figure you drew?
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RESPONSE --> 12 tringles, in a cube 2 on each side a cube has 6 sides 6*2+12 confidence assessment: 3
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00:21:02 `q003. The lines you drew should form a square with its two diagonals. Label the corners of the square A, B, C and D, going in order around the square, and label the center where the diagonals cross E. Now list all possible combinations of 3 of the letters A, B, C, D, E (note: combinations don't care about order, so A D E is the same as D A E or E A D or any other combination of these same three letters, so list each possible combination only once. That is, if you list for example ADE you won't list DAE).
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RESPONSE --> BEC,EBC,CBE confidence assessment: 1
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00:23:35 `q004. Of the 10 combinations ABC, ABD, ABE, ACD, ACE, ADE, BCD, BCE, BDE, CDE, which form triangles on your figure?
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RESPONSE --> ABC,ABD,ABE,ACD,ACE,ADE,BCD,BCE,CDE confidence assessment: 3
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00:28:57 `q005. Sketch the same figure as before, but without the line segment from A to B. Now how may triangles are there?
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RESPONSE --> 5 TRIANGLES confidence assessment: 3
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??????????}???assignment #012 012. The common sense of logic. Liberal Arts Mathematics I 10-02-2007
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00:34:20 `q001. Note that there are 4 questions in this assignment. Suppose I tell you 'If it rains today, I'll give you $100.' Under which of the following circumstances can you claim that I was not telling the truth? 1. It rains and I give you $100. 2. It rains and I don't give you $100. 3. It doesn't rain and I give you $100. 4. I doesn't rain and I don't give you $100.
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RESPONSE --> 2. it rains and i don't give you $100. confidence assessment: 2
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00:36:29 `q002. Suppose that tell you 'It will rain today and I will give you $100'. Under which of the following circumstances can you claim that I was not telling the truth? 1. It rains and I give you $100. 2. It rains and I don't give you $100. 3. It doesn't rain and I give you $100. 4. I doesn't rain and I don't give you $100.
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RESPONSE --> #2 confidence assessment: 1
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00:38:11 `q003. Suppose that tell you 'It will rain today or I will give you $100, but not both'. Under which of the following circumstances can you claim that I was not telling the truth? 1. It rains and I give you $100. 2. It rains and I don't give you $100. 3. It doesn't rain and I give you $100. 4. I doesn't rain and I don't give you $100.
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RESPONSE --> #2 and #3 confidence assessment: 1
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00:39:40 `q004. Suppose that tell you 'It will rain today or I will give you $100'. Under which of the following circumstances can you claim that I was not telling the truth? 1. It rains and I give you $100. 2. It rains and I don't give you $100. 3. It doesn't rain and I give you $100. 4. I doesn't rain and I don't give you $100.
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RESPONSE --> #2 and #3 confidence assessment: 2
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