To find the next number in this sequence, let’s first analyze the pattern of the numbers provided.
Starting with the sequence: 6, 18, 20, 10, 30, 32, 16.
1. Looking at the first two numbers, 6 and 18, we can deduce that 18 is 3 times 6.
2. Next, we move to 18 and 20. Here, we can see that 20 is simply 2 more than 18.
3. Following this, we have 20 and 10. The number 10 is half of 20.
4. After that, from 10 to 30, we observe that 30 is 3 times 10.
5. Next, from 30 to 32, we see that 32 is 2 more than 30.
6. Now, going from 32 to 16, we can notice that 16 is half of 32.
Notice a pattern? Every three steps, we seem to alternate between multiplying by 3, adding 2, and dividing by 2.
Following this pattern, after the last number, 16, we would multiply by 3:
16 x 3 = 48.
So, the next number in the sequence should be 48.