There are infinitely many rules that can be used to generate the three numbers given. For example:
Un = 36n2 - 96n + 62 for n = 1, 2, 3 generates the above sequence of numbers. And then n = 4 and 5 gives 254 and 482.
Another possibility is Un = 2*7n-1 for n = 1, 2, 3, etc which would give 686 and 4802. (The similarity in the digits for U5 is coincidental)
There are six: 1 2 7 14 49 98.
1 x 98, 2 x 49, 7 x 14 = 98
1 2 7 14 49 and 98 all divide into 98 evenly.
1 x 98, 2 x 49, 7 x 14
the two smallest numbers are 49 and 14
98 = 1 x 98, 2 x 49, 7 x 14.
The factors of 98 are the numbers that can be multiplied together to equal 98. In this case, the factors of 98 are 1, 2, 7, 14, 49, and 98. These numbers can be multiplied in various combinations to result in 98.
For example: 2*49 = 98
The factor pairs of 98 are: 1 × 98 2 × 49 7 × 14
Let's denote the two numbers as x and y. We can set up the equation x * y = 98. To find the two numbers, we need to consider all the pairs of factors of 98. The factors of 98 are 1, 2, 7, 14, 49, and 98. So, the two numbers that, when multiplied, equal 98 are 2 and 49.
The least common multiple is the smallest positive number that is a multiple of two or more numbers. 14: 14, 28, 42, 56, 70, 84, 98 49: 98 The least common multiple for 14 and 49 and is 98.
Let the 2 numbers be x and y then we have x+y = 21 y = 21 - x ......(1) Also given that xy = 98 plug in y from (1) x(21-x) = 98 21x - x² = 98 x² - 21x + 98 = 0 x² - 14x - 7x + 98 = 0 x(x-14) - 7(x - 14) = 0 (x-14)(x-7) = 0 x = 14 or x = 7 If x = 14 then y =21-14 = 7 If x=7, then y = 21-7 = 14 So the two numbers are 7 and 14