Using the following pattern determine the number in the 4th place:
9, 12, 18, .....
12-9 ≠ 18-12 , so not arithmetic
12/9 ≠ 18/12 , so not geometric
9 = 3x3
12 = 3x4
18 = 3x6
almost a pattern, would have been nice had the terms been 9, 12, 15, 18
I see no apparent pattern, perhaps somebody else can see something.
Of course, there are infinitely many solutions, but if you want a polynomial,
3/2 (x^2 - x + 6) is the lowest-degree one which generates the given data.
To determine the number in the 4th place using the given pattern, we need to identify the pattern itself and apply it to find the missing number.
Looking at the given sequence: 9, 12, 18, ....., we can observe that each subsequent number is obtained by adding 3, 6, and so on.
We can express this pattern mathematically as follows:
First term: 9
Second term: 9 + 3 = 12
Third term: 9 + 3 + 6 = 18
To find the missing number, we need to continue the pattern:
Fourth term: 9 + 3 + 6 + 9 = 27
Therefore, the number in the 4th place is 27.