Submitted by bethany.clarke on Tue, 08/30/2016 - 20:36
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For a "show that" question, would you have to tackle it as a proof by induction or just show it works for a certain set of values? (Assignment 3 STEP Question)
Submitted by bethany.clarke on Tue, 08/30/2016 - 20:36
For a "show that" question, would you have to tackle it as a proof by induction or just show it works for a certain set of values? (Assignment 3 STEP Question)
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Show that
If the question says "show that" then it is asking you to completely justify the given answer (no gaps allowed!). In the case you need to show that there are 15 five-digit numbers that satisfy the given digit sum AND no others (you cannot just stop once you have found 15, you must show that a 16th is not possible!)
Show that
In the case of this question you will want to consider it in general. When it says show that it means show it for all values so showing its true for several examples wont suffice. For example in this case you know that the area increases as a summation of a geometric progression, so by saying the area is the summation up to 2^(a-1) you can show its true for all values of a. Drawing a sketch might help.