Oh, what a delightful pattern you've discovered! It looks like each number is increasing by adding the next odd number, starting from 1. So, 2 + 1 = 3, 3 + 3 = 6, 6 + 5 = 11, and 11 + 7 = 18. Keep exploring these patterns, my friend, and let your creativity flow!
The rule to the pattern 2 3 6 11 18 is that each number is obtained by adding the next odd number in sequence.
Starting with 2, the next odd number is 3, so 2 + 3 = 5.
Continuing with 3, the next odd number is 5, so 3 + 5 = 8.
Therefore, the next number in the sequence would be 18 + 7 = 25.
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
The rule for this sequence appears to be adding consecutive prime numbers. The sequence starts with 3, then adds the next prime number 2 to get 4. It then adds 3 (the next prime number) to 4 to get 7, then 5 to 7 to get 12, and so on. Each number in the sequence is the sum of the previous number and the next prime number in order.
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