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50
0.1
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
10
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For an integral sequence the next number is 6 (add 5 subtract 7 pattern).
100 is the next one1 penny2 pence5 pence10 pence50 pence100 pence or 1 poundThey are all coinsanswered by a five year old girl
40.
28
1 x 5 = 5 5 x 10 = 50 ; 10 is 5+5 50 x 20 = 1000; 20 is 10+10 1000 x 40 = 40,000 ; 40 is 20 + 20 40,000 x 80 = 3,200,000; 80 is 40+40 therefore the next 2 numbers are 40,000 and 3,200,000
266
6 and 10