Find the next term in the alphanumeric series: C5, D16, G24, L72, S48, ?

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.

$$19 + 9 = 28$$19+9=28

Since there are only 26 letters in the alphabet:

$$28 - 26 = 2$$28−26=2

The 2nd letter is B.

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Looking at the number pattern:

5, 16, 24, 72, 48, ?

Examining the ratios between consecutive terms:

• $\dfrac{16}{5} = 3.2 = \dfrac{16}{5}$516​=3.2=516​
• $\dfrac{24}{16} = 1.5 = \dfrac{3}{2}$1624​=1.5=23​
• $\dfrac{72}{24} = 3$2472​=3
• $\dfrac{48}{72} = \dfrac{2}{3}$7248​=32​

The pattern of multipliers alternates between increasing and decreasing values.

Following the pattern:

$$48 \times 2.5 = 120$$48×2.5=120

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The next term combines:

• Letter: B
• Number: 120

Therefore, the answer is B120.