1
Find the missing number in the series: 16, 19, 28, 55, ___
0:00
Solution: Step 1: Examine the differences between consecutive terms: 19-16 = 3, 28-19 = 9, 55-28 = 27.
Step 2: Identify that the differences are increasing by a factor of 3 each time: 3, 9, 27, ...
Step 3: Predict the next difference: 27*3 = 81.
Step 4: Calculate the missing term: 55 + 81 = 136.
Step 5: Therefore, the missing number in the series is 136.
2
Find the missing term in the series: 4400, 4437, 4472, ?, 4536, 4565
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Solution: Step 1: Identify pattern in series.
Step 2: Calculate differences between consecutive terms: 4437 - 4400 = 37, 4472 - 4437 = 35.
Step 3: Observe pattern in differences: decreasing by 2 each time (37, 35, ...).
Step 4: Predict next differences: 37, 35, 33, 31, 29.
Step 5: Calculate missing term: 4472 + 33 = 4505.
Step 6: Verify series with calculated term: 4400, 4437, 4472, 4505, 4536, 4565.