if my input numbers are 1,2,3,4,5,6 and my output numbers are 8, 14, ?, 24,28,?...I cannot figure out the rule and the numbers where the question marks should be.
To understand the pattern and find the missing numbers, let's analyze the sequence step by step.
Given the input numbers: 1, 2, 3, 4, 5, 6
And the corresponding output numbers: 8, 14, ?, 24, 28, ?
To find the rule, let's examine the relationship between the input and output numbers:
Step 1:
Starting with 1 and multiplying it by 2, we get 2. Adding 6 to it gives us 8, which is the first output number: 1 * 2 + 6 = 8.
Step 2:
Moving to the next input number, 2. We multiply it by 4 and add 6: 2 * 4 + 6 = 14. This gives us the second output number, 14.
Step 3:
Now let's look at the third input number, 3. If we continue the pattern we observed in the first two steps, we would multiply 3 by 6 and add 6: 3 * 6 + 6 = 24. Therefore, the missing number is 24.
Step 4:
Next, consider the fourth input number, 4. If we continue with the same pattern, the calculation would be 4 * 8 + 6 = 38. But wait, this doesn't match the given sequence, which has an output of 24 for the fourth element. Therefore, we need to reevaluate the pattern.
Upon reconsidering the sequence, we find that the rule switches for the fourth input number and onwards. Instead of multiplying by 2, we multiply the input number by 4.
Step 4 (revised):
Using the revised rule, we multiply 4 by 4 and add 6: 4 * 4 + 6 = 22. The missing number is 22.
Step 5:
For the fifth input number, 5, we multiply it by 4 and add 6: 5 * 4 + 6 = 26. This gives us the fifth output number.
Step 6:
Finally, for the last input number, 6, we apply the same rule: 6 * 4 + 6 = 30. Therefore, the missing number is 30.
In summary, the missing numbers in the sequence are 24 and 30. The completed sequence is: 8, 14, 24, 24, 28, 30.