Q. Type the missing numbers in this sequence:54, 47, _, 33, 26, _
Identify Pattern: First, let's identify the pattern in the sequence. We can see that the sequence is decreasing, so we need to determine by how much it decreases each time.
Find Common Difference: We subtract the second number from the first number to find the common difference: 54−47=7. This suggests that the sequence decreases by 7 each time.
Apply Common Difference: Now, we apply the common difference to find the missing number after 47. We subtract 7 from 47: 47−7=40. So, the third number in the sequence should be 40.
Correct Mistake: Next, we need to find the last missing number in the sequence. We already know the number before it is 33, so we subtract 7 from 33: 33−7=26. However, since 26 is already the next number in the sequence, we've made a mistake. We should have been looking for the number after 26, not before it. Therefore, we need to add 7 to 26: 26+7=33. This is a math error.