100 is the next one
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Given the sequence 2, 10, 26, 50, 82, ... We can look at the differences between these numbers: 2 + 8 = 10 10 + 16 = 26 23 + 24 = 50 50 + 32 = 82 and can see that this sequence increments by a value which starts at 2, and itself increments by eight. This means we can describe this sequence with this function: x f(x) = 2 + 8∑x 0 f(x) = 2 + 8( x(x + 1) / 2) f(x) = 2 + 4(x2 + x) f(x) = 4x2 + 4x + 2 f(x) = 2(2x2 + 2x + 1) The next value in the sequence then would be: f(5) = 2(2 * 52 + 2 * 5 + 1) = 2(50 + 10 + 1) = 2 * 61 = 122
The sequence appears to be alternating between dividing by 2 and multiplying by 10. Starting with 20, we divide by 2 to get 10, then multiply by 10 to get 100, then divide by 2 to get 50, and finally multiply by 10 to get 500. Therefore, the next number in the sequence would be 500 divided by 2, which equals 250.
10 divided by 20/50 = 25= 10÷ 20/50= 10/1÷ 2/5= 10/1 * 5/2= 50/2= 25
The sequence is formed by dividing the previous number by 2 then adding 2. 100/2 = 50, 50 + 2 = 52 52/2 = 26, 26 + 2 = 28 28/2 = 14, 14 + 2 = 16 16/2 = 8, 8 + 2 = 10 The next number in the sequence is thus :- 10/2 = 5, 5 + 2 = 7
Assume that the answer is a positive integer. Convert 50 into its factor pairs. 1 x 50 2 x 25 5 x 10 As all of the above numbers divide 50 then there are 6 ways. 50 ÷ 1 = 50 : 50 ÷ 2 = 25 : 50 ÷ 5 = 10 : 50 ÷ 10 = 5 : 50 ÷ 25 = 2 : 50 ÷ 50 = 1