which of the following is the missing term in the sequence 3,4,6 ?, 13,18,24

Answer 1

To find the missing term in the sequence 3, 4, 6, ?, 13, 18, 24, let's analyze the differences between the numbers:

1. First, calculate the differences between the known terms:
   • 4 - 3 = 1
   • 6 - 4 = 2
   • ? - 6 = ?
   • 13 - ? = ?
   • 18 - 13 = 5
   • 24 - 18 = 6

From the existing differences, we can see a pattern emerging:

• The differences we have so far are: 1, 2, ?, ?, 5, 6.

If we assume the missing differences would follow a pattern, we can reason that it might be increasing.

• If we look for the next difference after 2, we could hypothesize it could be 3, as the differences appear to be increasing by 1 each time:
  • 1, 2, 3, (missing difference), 5, 6.

So, if the difference before 5 is 4, we can note:

1. From 6 to the missing term ?, the difference seems to be 3.
   • So, 6 + 3 = 9
2. Now from 9 to 13, the difference would be 4 (13 - 9 = 4).

Now we have the terms filled in as: 3, 4, 6, 9, 13, 18, 24.

Therefore, the missing term in the sequence is 9.