The pattern rule for the given sequence is that each number is the sum of the previous number and a specific increment. In this case, the increment appears to be increasing by 1, then 2, then 3, then 4, and finally 5. So, the pattern rule can be expressed as: (n = n-1 + k), where (k) is the increment.
prime numbers
t(n) = 5 + 2*n
If you mean: 2 5 11 23 47 then they are increasing by 3 6 12 24
One possible rule is: Un = (243n5 - 4210n4 + 27225n3 - 60830n2 + 106452n - 45960)/120 for n = 1, 2, 3, etc
The pattern rule for the given sequence is that each number is the sum of the previous number and a specific increment. In this case, the increment appears to be increasing by 1, then 2, then 3, then 4, and finally 5. So, the pattern rule can be expressed as: (n = n-1 + k), where (k) is the increment.
prime numbers
multiplication pattern
The rule is t(n) = 5 + 2*n, where n = 1, 2, 3, ...
The rule for the nth term is t(0) = 23 t(n) = mod[t(n-1) + 2n-1, 26] for n = 1, 2, 3, ...
t(n) = 5 + 2*n
There are many possibilities. One is: Un = (8n3 - 39n2 + 79n - 36)/6 for n = 1, 2, 3, ...
It is: 3 6 12 24 48 .... double up each time
One rule for this pattern is to add twice the previous value added 4 + 1 = 5 5 + 2×1 = 5 + 2 = 7 7 + 2×2 = 7 + 4 = 11 11 + 2×4 = 11 + 8 = 19 Continuing the next numbers would be: 19 + 2×8 = 19 + 16 = 35 35 + 2×16 = 35 + 32 = 67 ...
The difference doubles each time. 2+3=5.. 5+6=11.. 11+12=23..Therefore the next number in the sequence would be 47, since 23+24 = 47.
If you mean: 2 5 11 23 47 then they are increasing by 3 6 12 24
There are many possible answers. One possible rule is: Un = (3n4 - 18n3 + 69n2 - 54n + 120)/8 for n 1, 2, 3, ...