Selective Test General Ability How-to-solve Pascal Triangle Problems
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Selective Test General Ability is a series of presentation to improve students test performance for Selective High School Placement Test, Scholarship Test for Private Schools, Opportunity Class and NAPLAN.
Transcript of Selective Test General Ability How-to-solve Pascal Triangle Problems
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How-to-solve Pascal Triangle Problemswww.notesedu.com.au
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Website:www.notesedu.com.au
Pascal’s triangle is named afterFrench mathematician BlaisePascal. Students preparing forvarious competitive exams (viz.,Selective High School, OC, &www.notesedu.com.au
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Selective High School, OC, &NPLAN) come across varioustype of questions based onPascal’s triangle. So, it isimportant to know various factsabout Pascal’s triangle.
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Let n be the number of position in the sequence then the triangularnumber can found by using the following formula:xn = n(n+1)/2
1st position = 1(1+1)/2=1; 2nd position = 2(2+1)/2=3; 3rd position =3(3+1)/2=6 … 10th position = 10(10+1)/2=55…
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Let n be the number of position in the sequence then the Tetrahedralnumber can found by using the following formula: xn = n(n+1)(n+2)/6
1st position = 1(1+1)(1+2)/6=1; 2nd position = 2(2+1)(2+2)/6=4; 3rd
position = 3(3+1)(3+2)/6=10 … 10th position = 10(10+1)(10+2)/6=220…
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The sum of the elements of a single row is twice the sum of the rowpreceding it. For example, row 0 (R-0 the first row) has a value of 1,row 1 (R-1) has a value of 2, row 2 (R-2) has a value of 4, and so forth.
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![Promenade around Pascal Triangle { Number Motives · Pascal [Pas1665] wrote his Trait e du Triangle Arithm etique in 1654. It was the result of a fruitful correspondence with Pierre](https://static.fdocuments.net/doc/165x107/5c89233e09d3f2d4158bc4bc/promenade-around-pascal-triangle-number-motives-pascal-pas1665-wrote-his.jpg)
