ഒരു മാജിക് പഠിച്ചാലോ? Learn a MATH MAGIC in few minutes!!
Raghavan Sir, Rocks again !
Explanation to this magic.
Let the first two numbers be a and b .The third step is a+b .The fourth step is to add the 3rd and the 2nd.that is to add a+b+b = a +2b. The fifth step is thus a+b +a + 2b = 2a+ 3b....
These sums thus can be written in the following steps .
1). a
2). b
3). a+b
4). a+2b
5). 2a+3b
6). 3a+5b
7). 5a+8b
8). 8a+13b
9). 13a+21b
10) .21a+34b
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Total of all terms=a+b+a+b+a+2b+2a+3b+3a+5b+5a+8b+8a+13b+13a+21b+21a+34b
= 55a+ 88b
= 11 x ( 5a + 8b )
= 11 x 7th term.
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The sum of the 10 terms will always be a product of 11 and the 7th term.
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It is a nice trick .This magic can be used to create interest in algebra too.- Radhakrishnan C K
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