What would you like to do?

# Which number should come next 64 16 4 1 ¼?

Would you like to merge this question into it?

#### already exists as an alternateof this question.

Would you like to make it the primary and merge this question into it?

#### exists and is an alternate of .

1/16

----------------------------------------------------

The above answer of 1/16 is the answer your teacher is more likelywanting as it makes the series so far a GP (Geometric Progression)with U{n}=64 × (¼)ⁿ⁻¹. However, it is possible to find infinitelymany polynomials which also give {64, 16, 4, 1, ¼} for the firstfive terms, but then diverge and continue the sequence in differentways, 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 termU{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 termU{6}=15¼
6 peoplefound this useful
Thanks for the feedback!

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
InUncategorized

# What number comes next 4 16 64 256?

the next answer would be 1,024