A triangular number is any number from the series of numbers (1, 3, 6, 10, 15,...

 

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A triangular number is any number from the series of numbers (1, 3, 6, 10, 15, etc.) obtained by continued summation of the natural numbers 1, 2, 3, 4, 5, etc Implement a function next triangular number (num) that takes an integer and determines the smallest triangular number that is equal to or larger than the given number. The function must: • take one argument: a positive integer, num return trig num, where trig.num is the smallest triangular number that is greater than or equal to num use a while-loop Example: calling next.triangular number (25) returns 28 as the triangular number 21 (1+2+3+4+5+6 = 21) is smaller than 25, and so the next triangular number 28 (1+ 2+3+4+ 5+6+7 = 28), which is bigger than 25, is the next triangular number in the series. A triangular number is any number from the series of numbers (1, 3, 6, 10, 15, etc.) obtained by continued summation of the natural numbers 1, 2, 3, 4, 5, etc Implement a function next triangular number (num) that takes an integer and determines the smallest triangular number that is equal to or larger than the given number. The function must: • take one argument: a positive integer, num return trig num, where trig.num is the smallest triangular number that is greater than or equal to num use a while-loop Example: calling next.triangular number (25) returns 28 as the triangular number 21 (1+2+3+4+5+6 = 21) is smaller than 25, and so the next triangular number 28 (1+ 2+3+4+ 5+6+7 = 28), which is bigger than 25, is the next triangular number in the series.

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