Input 15 ? 30 10 9 3 1
Output 6 18 3 9 ? 30 90
To find the missing value in the sequence, we need to determine the pattern or rule that governs the sequence. Looking at the numbers given: 15, ?, 30, 10, 9, 3, 1, we can observe the following pattern:
If we divide each number in the sequence by the previous number, we obtain the following ratios:
15 ÷ ? = ?
30 ÷ 15 = 2
10 ÷ 30 = 1/3
9 ÷ 10 = 0.9
3 ÷ 9 = 1/3
1 ÷ 3 = 1/3
From these ratios, we see that the pattern consists of multiplying by 2, then dividing by 3 repeatedly. Therefore, to find the missing number, we can apply this pattern to the previous number in the sequence, which is 30.
30 × 2 = 60
60 ÷ 3 = 20
So, the missing value in the sequence is 20.
To summarize the sequence: 15, 20, 30, 10, 9, 3, 1.