Directions: Find the missing numbers in the following series: 8, 11, 14.5, 18.5, 23, ?
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Directions: Find the missing numbers in the following series: 8, 11, 14.5, 18.5, 23, ?
23
28
32.5
37
43
The differences between consecutive terms are: 11 - 8 = 3, 14.5 - 11 = 3.5, 18.5 - 14.5 = 4, 23 - 18.5 = 4.5. The differences are increasing by 0.5. The next difference should be 5. So, 23 + 5 = 28.
The differences between consecutive terms are 3, 3.5, 4, and 4.5, which form an increasing arithmetic progression with a common difference of 0.5. Adding the next difference of 5 to the last term gives 23 + 5 = 28. The missing number is 28.