Irah Athirah's answer to Alex's Secondary 3 E Maths Singapore question.
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This is some useful notes for you, IN CASE the question requires you to find Tn, or did not provide you the formula. In order to use this, the number pattern MUST be a quadratic pattern (refer to comment section).
Date Posted:
4 years ago
Example of a quadratic pattern:
1, 1, 2, 4, 7, 11, 16, ...
For this number pattern, we realised that the first set of 'jumps' are not the same as it goes like this:
+0, +1, +2, +3, +4, +5, ...
However, we find that all the 'jumps' have the common thing - they are added by 1 (+1).
In short, a quadratic pattern is something like these two qns - first set of 'jumps' are inconsistent, second set of 'jumps' are consistent.
1, 1, 2, 4, 7, 11, 16, ...
For this number pattern, we realised that the first set of 'jumps' are not the same as it goes like this:
+0, +1, +2, +3, +4, +5, ...
However, we find that all the 'jumps' have the common thing - they are added by 1 (+1).
In short, a quadratic pattern is something like these two qns - first set of 'jumps' are inconsistent, second set of 'jumps' are consistent.
But in this case, the question provides you with the Tn. So it's a lot more easier to just find T27 and T50. But it's good to keep this in mind if you encounter this kind of question in the future. :)
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