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1/16
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The above answer of 1/16 is the answer your teacher is more likely wanting as it makes the series so far a GP (Geometric Progression) with U{n} = 64 × (¼)ⁿ⁻¹. However, it is possible to find infinitely many polynomials which also give {64, 16, 4, 1, ¼} for the first five terms, but then diverge and continue the sequence in different ways, for example:
U{n} = (-153n⁵ + 3740n⁴ - 32735n³ + 131560n² - 246172n + 174480)/480
gives {64, 16, 4, 1, ¼} for n = {1, 2, 3, 4, 5}, so the next term U{6} = 42
U{n} = (27n⁴ - 414n³ + 2385n² - 6198n + 6248)/32
gives {64, 16, 4, 1, ¼} for n = {1, 2, 3, 4, 5}, so the next term U{6} = 15¼
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What number should come next 19 16 13 10?
7
Which number is should come at the end of next thease 1 4 9 16?
It appears that they are increasing by odd numbers of 3 5 7 So the next number should be 16+9 = 25
What number should come next 17 10 18 11 25 16?
26
1. 4. 9. 16. 25. Which number should come next?
36
What number should come next at the end of the series 1 4 9 16?
This is the series of square numbers, (16= 4*4). The next number is 5*5=25.
Which number should come next 64 16 4 1 and frac14?
If the numbers are 64 16 4 1 and 1/4 then the next number is 1/16 because each number is being divided by 4
What number should come next in the following sequence 18 21 17 20 16 19 15?
18
What number come number after 1 4 16?
The next number in the sequence is... 64
Which number should come at the end of the series 1 4 9 16?
The next number is 25 but there are the sequence is infinite so there can be no end to the sequence.
What number should come next 1 2 4 8 16 32 64?
It is 128 because they are doubled up each time
Which number come next 64 32 16 8 4 2?
1 do
1...4...9...16...25 which number should come next?
36...49....64...81...100...121...144 They are the square numbers.
