3F4, 6I6, 18L10,
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72O18
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62O17
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72O16
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64O17
The pattern has three components: first number follows 3×2=6, 6×3=18, 18×4=72; middle letters advance by 3 (F→I→L→O); last number adds 4, then 4, then 8 (4+2=6, 6+4=10, 10+8=18). The multiplier sequence is 2,3,4 and the addition sequence doubles each time (4,4,8). Option A (72O18) fits: 72 from 18×4, O from L+3, and 18 from 10+8.
To solve this question, we need to identify the pattern in the given series.
Looking at the given series: 3F4, 6I6, 18L10
The first letter in each term is increasing by a factor of 3: F, I, L.
The second letter in each term is increasing by a factor of 2: 4, 6, 10.
Therefore, the next term in the series should have the first letter as "O" and the second letter as 18.
Now let's analyze the options:
A. 72O18 - This option is correct because it follows the pattern identified in the series.
B. 62O17 - This option has the correct first letter "O" but the incorrect second letter "17".
C. 72O16 - This option has the correct first letter "O" but the incorrect second letter "16".
D. 64O17 - This option has the correct second letter "17" but the incorrect first letter "64".
Therefore, the correct answer is option A) 72O18.