Make a conjecture about the next item in each sequence.
1.4,6,9,13,18
-I know that from 4 to 6 they added 2 and then from there each time the number you add is 1 more than the last one, but I don't know how to make a conjecture. Thanks
9 + 4 = 13
13 + 5 = 18
18 + 6 = ?
To make a conjecture about the next item in a sequence, we need to look for a pattern in the numbers. In this case:
1. Start with the first number: 1.4
2. Notice that to get from 1.4 to 6, we add 4.6.
3. Then, to get from 6 to 9, we add 3.
4. Next, to get from 9 to 13, we add 4.
5. Finally, to get from 13 to 18, we add 5.
Based on this pattern, where each subsequent number is obtained by adding increasing values (starting with 4.6, then 3, 4, 5), we can make a conjecture that the next number in the sequence is obtained by adding 6:
18 + 6 = 24
Therefore, the conjecture for the next item in the sequence is 24.