Looking at the letter pattern:
C, D, G, L, S, ?
The position of each letter in the alphabet:
- C = 3rd letter
- D = 4th letter
- G = 7th letter
- L = 12th letter
- S = 19th letter
The differences between positions:
- 4 - 3 = 1
- 7 - 4 = 3
- 12 - 7 = 5
- 19 - 12 = 7
The differences form the sequence 1, 3, 5, 7 (consecutive odd numbers).
The next difference should be 9.
19+9=28
Since there are only 26 letters in the alphabet:
28−26=2
The 2nd letter is B.
Looking at the number pattern:
5, 16, 24, 72, 48, ?
Examining the ratios between consecutive terms:
- 516=3.2=516
- 1624=1.5=23
- 2472=3
- 7248=32
The pattern of multipliers alternates between increasing and decreasing values.
Following the pattern:
48×2.5=120
The next term combines:
- Letter: B
- Number: 120
Therefore, the answer is B120.