H = {3; 8; 15; 24; 35; 48}
Answer (1)
Let's examine the set H = { 3 , 8 , 15 , 24 , 35 , 48 } . From a mathematical perspective, the question could involve identifying patterns, sequences, or a specific property of the numbers in this set.
One possible way to analyze this set is to look for a pattern or sequence rule. To do this, let's examine the differences between consecutive numbers:
The difference between 8 and 3 is 8 − 3 = 5 .
The difference between 15 and 8 is 15 − 8 = 7 .
The difference between 24 and 15 is 24 − 15 = 9 .
The difference between 35 and 24 is 35 − 24 = 11 .
The difference between 48 and 35 is 48 − 35 = 13 .
The differences form the sequence 5 , 7 , 9 , 11 , 13 , which is an arithmetic sequence with a common difference of 2. This means each difference increases by 2 as we move from one pair to the next.
The pattern identified suggests that the sequence 3 , 8 , 15 , 24 , 35 , 48 is formed by adding increasing odd numbers to each term to get to the next. Understanding sequences like this is an essential part of learning patterns in mathematics and can be a step towards more complex topics like functions and series.
