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
11205 Pattern rule: Start at 1. Multiply by 7, and subtract 2.
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
33
11205 Pattern rule: Start at 1. Multiply by 7, and subtract 2.
One possible answer is: Un = 4n2 - 36n + 89 for n = 1, 2, 3.
There is no easy rule for divisibility by 34.
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.
+2, +3, +2
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)
50-16=34 34/2=17 16+17=33 Answer is 33
2 1 2
The rule for the pattern is y=x+2. That rule is in the table format in which it would originally be in, but the worded rule would be 'It increases by 2 each time'.