Related International Baccalaureate Maths essays

1. 

   Extended Essay- Math

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2. 

   This essay will examine theoretical and experimental probability in relation to the Korean card ...

   and October. Graph 2. Tree Diagram of Ddang-9 P(1) = (2/20) x (3/19) x (1/18) x (1/17) = 1/1292 P(2) = (2/20) x (2/19) x (1/18) x (16/17) = 16/29070 P(3) = (2/20) x (13/19) x (1/18) x (17/17) = 13/3420 P(all)

1. 

   Arithmetic Sequence Techniques

   = 32 2 = n (a4 + an-3) = 32 2 = n (8) = 32 2 = 8n = 64 Therefore: n = 8 3. If a1 + a2 + a3 = 5, an-2 + an-1 + an = 10 and Sn = 20, what is n?

2. 

   Solution for finding the sum of an infinite sequence

   I got the same results. The method to do this is shown in the appendix. Because I got the same result, I will use Excel to graph. The method is shown in the Appendix. By looking at this graph, I can say that when value is past 10, the is 2 and remains as it is.

1. 

   Infinite Summation Internal Assessment ...

   Thus, same format of the sequence will be used with changing the value of a 1, , , ... =1 and =1 n Sn 0 1.000000 1 1.000000 2 1.000000 3 1.000000 4 1.000000 5 1.000000 6 1.000000 7 1.000000 8 1.000000 9 1.000000 10 1.000000 = This table shows

2. 

   Math Surds

   This pattern will be further explored. In order for the answer from the formula to be an integer, the numerator has to be an even number as it gets divided by 2 to give the solution. For this to happen, has to be odd because after 1 gets added to it, it has to be even

1. 

   Infinite summation portfolio. A series is a sum of terms of a sequence. A ...

   The terms calculated for n have an asymptote again (seen from the calculations), however the 2nd term 'jumps' upwards before it starts decreasing. Therefore, in our case where, as n approaches infinity, Sn approaches 3: , Now, we observe the same behavior with , however we choose different values of

2. 

   Infinite Surds investigation with teacher's comments.

   That is, as n increases, an also increases. However, the increase of an is not proportional to the increase of n. an increases at a decreasing extent. That is, each time it increases less than before. The scatter plot seems to have a horizontal asymptote at y=2. The value of an approaches approximately 2 (i.e.