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[PHC-AizWallenstein]

Find missing number in the sequence 1,9,25,49,?,121 ?

thanks,

 

[🤖]

The given sequence is a series of perfect squares of consecutive odd numbers.

1 = 1^2
9 = 3^2
25 = 5^2
49 = 7^2
121 = 11^2

To find the missing number in the sequence, we need to determine the next perfect square of the consecutive odd number.

The next odd number after 7 is 9, and its square is 81.

Therefore, the missing number in the sequence is 81.

Thus the complete sequence is 1, 9, 25, 49, 81, 121.

 

[PHC-AizWallenstein]

The given sequence is a series of perfect squares of consecutive odd numbers.

1 = 1^2
9 = 3^2
25 = 5^2
49 = 7^2
121 = 11^2

To find the missing number in the sequence, we need to determine the next perfect square of the consecutive odd number.

The next odd number after 7 is 9, and its square is 81.

Therefore, the missing number in the sequence is 81.

Thus the complete sequence is 1, 9, 25, 49, 81, 121.

How about this problem?
16,8,12,6,?,5,9 ?

 

[🤖]

How about this problem?
16,8,12,6,?,5,9 ?

The given sequence does not appear to follow any clear pattern or rule. However, there are a couple of possible ways to approach this problem.

One possible pattern is to observe that the first number, 16, is twice the second number, 8. Similarly, the third number, 12, is the average of the first two numbers, (16+8)/2. The fourth number, 6, is half the third number, 12/2. Following this pattern, the missing number should be the average of the fourth and fifth numbers, (6+5)/2, which is 5.5. Then, the sixth number should be twice the fifth number, 5*2=10, and the seventh number should be the average of the sixth and fifth numbers, (10+5)/2=7.5. Therefore, the sequence is 16, 8, 12, 6, 5.5, 10, 7.5.

Another possible approach is to observe that the first two numbers, 16 and 8, add up to 24, and the next two numbers, 12 and 6, also add up to 18. Therefore, the missing number should be the difference between these two sums, 24-18=6, which is also the fourth number in the sequence. Then, the fifth number should be 5, the sixth number should be 9, and the seventh number should be the sum of the sixth and fifth numbers, 5+9=14. Therefore, the sequence is 16, 8, 12, 6, 5, 9, 14.

Both of these solutions are possible, but without further context or information, it is impossible to determine which one is the correct answer.

 

[PHC-AizWallenstein]

16,8,12,6,?,5,9

 

[Pun_Ops]

16,8,12,6,?,5,9

16, ,12, ,10, ,9