Number series – fill in the missing term. Sequence: 83, 73, 93, 63, __, 93, 43, …

Introduction / Context:
This nonstandard numeric series alternates between downward “drops” and “resets” back to a hub value. Recognizing the alternating up/down motif and its magnitudes is essential to locating the correct missing number.

Given Data / Assumptions:

• Sequence: 83, 73, 93, 63, __, 93, 43, …
• Observed moves: −10, +20, −30, ?, +?, −50
• Multiple appearances of 93 suggest it acts as a recurring anchor or reset point.

Concept / Approach:

Inspect the alternating step sizes. The downward steps visibly follow a pattern of increasing magnitude by 20: −10, −30, −50. Between these drops, the series jumps back up to 93, acting like a reset before the next, larger drop.

Step-by-Step Solution:

Verification / Alternative check:

The down-steps are −10, −30, −50 (increasing by 20 each time). Between the down-steps, the series returns to 93. This uniquely determines the missing term as 93.

Why Other Options Are Wrong:

33, 53, 73 move the value away from the reset pattern and break the required +30 rise from 63. Only 93 both preserves the reset behavior and keeps the later −50 step consistent.

Common Pitfalls:

Expecting a single arithmetic or geometric rule can be misleading. This sequence uses alternating large drops and resets to a fixed hub value.

Final Answer:

93