Fibonacci: Each term = sum of previous two. 1,1,2,3,5,8,13...
Mixed: Two alternating series interleaved
⚡ Step-by-step: 1) Find differences. 2) If differences are constant → AP. 3) Find ratios. 4) If ratios constant → GP. 5) Try squares/cubes. 6) Look for Fibonacci. 7) Check if two alternate series exist.
Practice MCQs — Missing Numbers
Q1. 2, 4, 8, 16, ?
A) 24
B) 28
C) 32
D) 36
Answer: C) 32 — ×2 each time → 32.
Q2. 1, 4, 9, 16, ?
A) 20
B) 24
C) 25
D) 36
Answer: C) 25 — Perfect squares: 5²=25.
Q3. 3, 6, 11, 18, ?
A) 23
B) 25
C) 27
D) 29
Answer: C) 27 — Differences: 3,5,7,9 → next=27.
Q4. 2, 3, 5, 8, 13, ?
A) 18
B) 20
C) 21
D) 23
Answer: C) 21 — Fibonacci-like: 8+13=21.
Q5. 1, 2, 6, 24, ?
A) 96
B) 100
C) 120
D) 144
Answer: C) 120 — ×1,×3,×4,×5 → ×5? Actually factorials: 1!,2!,3!,4!,5!=120.