3,4,9 6, 27, what is the next number in the sequence
The sequence appears to be increasing by multiplying each term by a certain number.
3 * 2 = 6
6 * 4.5 = 27
Based on this pattern, the next number in the sequence would be:
27 * 6 = 162
To find the next number in the sequence, let's analyze the given numbers: 3, 4, 9, 6, 27.
The pattern is not apparent at first glance, so let's break it down into smaller parts.
The sequence can be divided into two groups: 3, 4, 9 and 6, 27.
In the first group, if we raise each number to the power of 2, we get: 3^2 = 9, and 4^2 = 16.
Now, let's examine the second group by calculating the cube of each number: 6^3 = 216, and 27^3 = 19683.
From these calculations, it appears that the pattern alternates between squaring and cubing the numbers.
So, if we continue the pattern, the next number will be the square of 16, which is 16^2 = 256.
Therefore, the next number in the sequence is 256.
To find the next number in the sequence, let's observe the pattern:
If we look at the first number, 3, and compare it to the second number, 4, we can see that it increased by 1.
Next, if we compare the second and third numbers, 4 and 9, we can see that the second number was squared to get the third number.
Now, if we compare the third and fourth numbers, 9 and 6, there is a decrease.
Finally, if we compare the fourth and fifth numbers, 6 and 27, we can see that the fourth number was multiplied by 1 less than itself (6 x (6-1) = 27).
Based on this pattern, we can determine that the next number in the sequence will be obtained by multiplying the fifth number (27) by 1 less than itself:
27 x (27-1) = 27 x 26 = 702
Therefore, the next number in the sequence is 702.