Find the missing term: 5 6 16 57 ? 1245 7506
Question
Find the missing term: 5 6 16 57 ? 1245 7506
Solution
The pattern in this sequence is that each term is obtained by multiplying the previous term by the position it holds in the sequence and then adding the position.
Let's break it down:
- The second term is obtained by multiplying the first term by 1 (its position) and adding 1: 5*1 + 1 = 6
- The third term is obtained by multiplying the second term by 2 (its position) and adding 2: 6*2 + 2 = 16
- The fourth term is obtained by multiplying the third term by 3 (its position) and adding 3: 16*3 + 3 = 57
Following this pattern, the missing term (which is the fifth term) should be obtained by multiplying the fourth term by 4 (its position) and adding 4: 57*4 + 4 = 232
So, the missing term in the sequence is 232.
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