With each new term, you add a number n. This number is always odd, and increases by 2 with each term. So, starting with the first term, 2, you add n = 1 to get 3; add 3 to n = 3 to get 6; add 6 to 5 to get 11; and 7 to 11 to get 18.
Here is the pattern written out:
2 + 1 = 3
3 + 3 = 6
6 + 5 = 11
11 + 7 = 18
...
1, 3, 4, 7, 11, 18, 29, 47
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 ...
It is not a rule as such; those number are the first 10 prime numbers.
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'.
-31. The rule is t(n) = -2n3 + 12n2 -19n + 14 where n = 1, 2, 3, ...
The pattern will be +2, +3, +4, +4
prime numbers
4*2-2=6 6*2-2=10
3 4 6 9 13 18...1....2....3....4......5
1, 3, 4, 7, 11, 18, 29, 47
t(n) = 3(-n2 + 6n - 2) for n = 1, 2, 3 etc
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 ...
add 6, subtract 2
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