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?
33
There is no easy rule for divisibility by 34.
It is not a rule as such; those number are the first 10 prime numbers.
50-16=34 34/2=17 16+17=33 Answer is 33
11205 Pattern rule: Start at 1. Multiply by 7, and subtract 2.
33
One possible answer is: Un = 4n2 - 36n + 89 for n = 1, 2, 3.
There is no easy rule for divisibility by 34.
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.
Add 3n-1. For example 1 + 30 = 2 2 + 31 = 5 5 + 32 = 14 14 + 33 = 41
It is not a rule as such; those number are the first 10 prime numbers.
There isn't one. * * * * * One possible answer is: Un = 4n2 - 36n + 89 for n = 1, 2, 3.
50-16=34 34/2=17 16+17=33 Answer is 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)
+2, +3, +2
11205 Pattern rule: Start at 1. Multiply by 7, and subtract 2.
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.