Which number should come next 64 16 4 1 ¼?

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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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36

1/4

36.

1...4...9...16...25 which number should come next?

36...49....64...81...100...121...144 They are the square numbers.

What number should come next in this series 1 4 9 16?

The series appears to increase as follows: 1 (+3), 4 (+5), 9 (+7), 16,, etc. If so, the next number in the series would be 25 (16 + 9). * * * * * While mathematically equi

1-4-9-16-25 what number should come next in the series?

The Pattern is 1^2- 2^2- 3^2- 4^2- 5^2 or 1 - 4 - 9 - 16 - 25 The next number in the series is 6^2 or 36

256

512 squared

What is the next number in the sequence 1 4 16 64?

The sequence is a geometric progression . Here, first term(a) = 1 and common multiple(r) = 4. nth term of G.P. is given by a n = ar n-1 If we put n = 5, then a 5 = 1x

16384

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.

What number comes next in series 64 32 16 8 4 2?

1. Each number is 1/2 of previous number.

1 do

128

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 1 2 4 8 16 32 64?

It is 128 because they are doubled up each time