Number series (three interleaved arithmetic threads, step ±6) Sequence: 4 7 26 10 13 20 16 … Choose the next two numbers.

Introduction / Context:
Some sequences are formed by interleaving multiple simpler arithmetic threads. Here, terms at positions 1, 4, 7; 2, 5, 8; and 3, 6, 9 each follow their own linear rule.

Given Data / Assumptions:

• Total sequence shown: 4, 7, 26, 10, 13, 20, 16, …
• Consider three position-based subsequences: (1,4,7,…), (2,5,8,…), (3,6,9,…).

Concept / Approach:
Extract and analyze each thread separately. If each progresses by ±6, you can predict the next corresponding values, then interleave back.

Step-by-Step Solution:

Verification / Alternative check:
Continuing, position 10 (thread A) would be 22, maintaining the ±6 pattern across the three threads.

Why Other Options Are Wrong:

• 14 4 / 14 17 / 18 14 / 19 13: Each breaks at least one thread’s ±6 rule or mis-orders the interleaving.

Common Pitfalls:
Analyzing only one difference stream instead of separating by positions.

Final Answer:
19 14