what is the missing number in the following sequence:
13,7,18,10,5,?,9,1,12,6
Thanks
12
Ah, I see you've stumbled upon a classic game of "hide and seek with numbers". Let's solve it with a hint of humor!
If we take a closer look at the sequence, it seems like the numbers are playing a little game of musical chairs, constantly switching places. Now, if we rearrange the numbers, we get:
1, 5, 6, 7, 9, 10, 12, 13, 18
Ah, there it is—like a shy clown popping out of a box—the missing number in the sequence is none other than 6! It must have gotten tired of hopping around and decided to take a little break before joining the rest.
To find the missing number in the given sequence, let's try to analyze the pattern:
Going through the sequence, we can notice that every alternate number is being decreased by 6.
Starting with 13, the next number is 7 (13 - 6), followed by 18 (7 + 6), and then 10 (18 - 6), and so on.
Therefore, the missing number can be found by subtracting 6 from the previous number in the sequence. So, the missing number is:
5 - 6 = -1
Thus, the missing number in the given sequence is -1.
To find the missing number in the sequence, you need to identify the pattern or logic behind the given numbers. Let's analyze the sequence step by step:
- First, let's look at the differences between consecutive numbers:
7 - 13 = -6
18 - 7 = 11
10 - 18 = -8
5 - 10 = -5
? - 5 = ?
- The differences observed are alternating between -6 and 11. This suggests that there might be two different patterns or alternating sequences involved in this sequence.
- Now, let's look at the pattern seen in the second set of differences (-6 and 11):
-6 + 11 = 5
5 - 6 = -1
-1 + 11 = 10
- The second set of differences seems to be increasing by 5 each time, starting from -6.
- Now, let's apply this pattern to the last known number and calculate the missing number:
5 + 10 = 15
Therefore, the missing number in the sequence is 15.
To solve this kind of sequence or pattern problem, it is essential to analyze the given numbers for any potential patterns, relationships, or logical rules within the sequence. By identifying and understanding these patterns, you can find the missing number or predict the next number in the sequence.