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There are infinitely many possible answers.

One is

Un = (n5 - 10n4 + 55n3 - 110n2 + 184n - 120)/120 for n = 1, 2, 3, ...

Another possible answer is

Un = 2n-1 + 1 for n = 1, 2, 3, ...

Which one of the two? And if you choose one over the other, why did you pick that one and not the other? And why stick to only these two when there are infinitely many to choose from?

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12y ago

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Related Questions

What number comes next in this pattern 2 3 5 9 17?

33


What is the pattern to 57 33 17?

One possible answer is: Un = 4n2 - 36n + 89 for n = 1, 2, 3.


What is the divisibility rule for 34?

There is no easy rule for divisibility by 34.


Why is the next number in the pattern 235917 is 33?

The pattern in the sequence 2, 3, 5, 9, 17 can be understood by observing how each number is generated. Each number after the first two is the sum of the two preceding numbers: 2 + 3 = 5, 3 + 5 = 8 (but we have 9), 5 + 9 = 14 (but we have 17). If we continue this pattern, 9 + 17 = 26, and adding the last number (17 + 26) gives us 33, which is the next number in the sequence.


What is the pattern rule for 1-2-5-14?

Add 3n-1. For example 1 + 30 = 2 2 + 31 = 5 5 + 32 = 14 14 + 33 = 41


What is the rule that describes this pattern of numbers 2 3 5 7 11 13 17 19 23 29?

It is not a rule as such; those number are the first 10 prime numbers.


What is the number pattern for 57 33 and 17?

There isn't one. * * * * * One possible answer is: Un = 4n2 - 36n + 89 for n = 1, 2, 3.


What number is exactly halfway between 16 and 50?

50-16=34 34/2=17 16+17=33 Answer is 33


What is the pattern rule for this pattern 3-4-8-17-33?

After the initial number 3, the next number is generated by adding the square of numbers increasing by one at each step and starting with 12. 3 + 12 = 4 4 + 22 = 8 8 + 32 = 17 17 + 42 = 33....and so on The series formula is U(n) = n3/3 - n2/2 + n/6 + 3, which can also be written as :- 3 + n/6(2n2 - 3n + 1) = 3 +n/6(2n - 1)(n - 1)


What is the pattern rule for this pattern 2-4-7-9?

+2, +3, +2


What number comes next in this pattern 1 5 33 229 1601?

11205 Pattern rule: Start at 1. Multiply by 7, and subtract 2.


What is a rule for the pattern?

A rule for a pattern is a specific guideline or formula that describes how the elements in the pattern are organized or change. For example, in a numerical pattern like 2, 4, 6, 8, the rule is to add 2 to the previous number. Identifying the rule helps predict subsequent elements in the pattern.