DISINI 2013PascalSolution
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Every 7 -element set can be seen to occur once as we vary T over sets as in the problem, and we deduce that exactly 1/3 of the 7 -element subsets of S are such that the sum of
Solution by Marietjie Venter (Grade 12, Ho¨ erskool Stellenbosch).. Every time a piece of paper is cut into 5 smaller pieces, the total number of pieces of paper first decreases by
The first numbers in each group form a sequence which goes up by 12 each time; that is true also for the second numbers, the third ones and the
Since the sum of the digits does not depend on the order of the digits, then rearranging the digits of a positive integer that is divisible by 3 produces another positive integer
If we start with a negative number m and add consecutive integers the sum will remain negative until we have added the integers from m to m at which time the sum will be
The pattern of figures is repeated in the sequence The 214th figure in the sequence is.. ( A ) ( B ) ( C ) ( D ) ( E
This sequence is known as sequence A056542 in Sloane’s Online Encyclopedia of Integer Sequences [12]..
In fact a sequence of non-negative integers satisfying the Fibonacci recurrence is realizable if and only if it is a non-negative integer multiple of the Lucas sequence (see [13],
