Composite patterned series (doubling blocks interlaced with small reducers): determine the missing value. Segmented sequence: 90, 180, 12, 50, 100, 200, ?, 3, 50, 4, 25, 2, 6, 30, 3 Notice “doubling runs” (50→100→200) interleaved with small collapses (e.g., ? → 3). Find the value of the missing term that keeps the interleaving consistent.

Structure the line

• We see a clear doubling subsequence: 50 → 100 → 200 (×2 each step).
• After this “large build”, the next entry collapses to a small number: the very next term is 3.

Consistent link Choosing ? = 150 makes the immediate collapse intelligible: 150 ÷ 50 = 3, and the divisor 50 explicitly appears right after 3 in the list, preserving a neat \“value → reduced result → named divisor\” motif.

Why other choices fail 175, 225, or 250 do not yield an integer quotient of 3 with the subsequently displayed number 50 (e.g., 225 ÷ 50 = 4.5, not 3).