Problem Solving Process

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Presentation transcript:

Problem Solving Process Ronal Rifandi

Example Look at the group of number below {1,3}, {5,7,9}, {11,13,15,17}, {19,21,23,25,27} Determine the number of numbers in the 100th group

Steps of Problem Solving Process Understanding the Problem Note the pattern of the numbers Look at the pattern of the number of element in the 1st , 2nd , 3rd … groups Devising a plan The n –th term in the pattern, can be determined The number of elements in the n –th group can be determined The key of this problem is in how we get the first term in the n –th group

Implementing the plan The n’ –th term in that sequence is Un’= 2n’ – 1 The number of elements in n – th group is Bn= n+1 The number of elements until the n –th group is The 1st term of the group (n+1)

The number of elements until the 99th group is The 1st term of the 100th group is The number of elements in the 100th group is The last term in the 100th group is The sum of number in the 100th group is

Reflecting the problem Look at every formula that produced Implement that formula into the group of number in the problem that easy to determine