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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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13y 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.


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 divisibility rule for 34?

There is no easy rule for divisibility by 34.


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


If the pattern below follows the rule starting with two every consecutive line has a number that is one less than twice the previous line and how many marbles must be in the sixth line?

To find the number of marbles in the sixth line using the given rule, we start with the first line having 2 marbles. Each subsequent line has a number of marbles that is one less than twice the previous line. Following this pattern: 1st line: 2 2nd line: (2 * 2) - 1 = 3 3rd line: (2 * 3) - 1 = 5 4th line: (2 * 5) - 1 = 9 5th line: (2 * 9) - 1 = 17 6th line: (2 * 17) - 1 = 33 Thus, there must be 33 marbles in the sixth line.


If the pattern below follows the rule and ldquostarting with two every consecutive line has a number that is one less than twice the previous line and how many marbles must be in the sixth line?

To analyze the pattern, we start with 2 marbles in the first line. According to the rule, each subsequent line has a number that is one less than twice the previous line. Thus, the sequence will be: 1st line: 2 2nd line: (2 \times 2 - 1 = 3) 3rd line: (2 \times 3 - 1 = 5) 4th line: (2 \times 5 - 1 = 9) 5th line: (2 \times 9 - 1 = 17) 6th line: (2 \times 17 - 1 = 33) Therefore, there must be 33 marbles in the sixth line.


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 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 number is exactly halfway between 16 and 50?

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


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

+2, +3, +2