There is no rule. However, this pattern is known as the Fibonacci sequence, after the Italian mathematician Leonardo of Pisa. Each subsequent number is the sum of its two preceding numbers.
multiplication pattern
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'.
The answer is (no.) x3 = (no. 2) - 1 = (no. 3) x3= (no.4) x4 and so on... 1 x 3 = 3 - 1 = 2 x 3 = 6 - 1 = 5 x 3 = 15 - 1 = 14 x 3 = 42 - 1 = 41. :D Hope i helped
Everytime you move to the next number you add 1, then 2, then 3, etc.1+1=22+2=44+3=77+4=1111+5=1616+6=2222+7=2929+8=37
The pattern is: -8, -7, -5, -2, 2, 7, 13, 20 The series is: +1, +2. +3. +4. +5, +6. +7, etc.
t(n) = 3(n-1) + 1, for n = 1, 2, 3, etc
Add the previous 2 numbers to get the next number.
i0 = 4; in = in-1 - 3
Start at 1. Multiply by 3. Subtract 1. Multiply by 3. Subtract 1. Repeat this pattern.
multiplication pattern
+2, +3, +2
t(n) = 3(-n2 + 6n - 2) for n = 1, 2, 3 etc
There are infinitely many possible solutions. A simple one is Un = (n2 - 3n + 8)/2 for n = 1, 2, 3, ...
3 is the answer
8. Each number is the sum of the previous two.
One possible rule is: Un = (219n5 - 3755n4 + 24075n3 - 70645n2 + 92166n - 36960)/120 for n = 1, 2, 3, etc
There are many possibilities. One is: Un = (8n3 - 39n2 + 79n - 36)/6 for n = 1, 2, 3, ...