What is the next number in each of the following 3 sequences?
8 17 33 67 133 ? (1)
7 23 67 203 607 ? (2)
6 27 105 423 1689 ? (3)
🎥 Video solution / Text Solution of this question is given below:
(1) 8 → 17 → 33 → 67 → 133 → ?
Pattern: ×2 +1, ×2 −1, ×2 +1, ×2 −1, …
Next: 133×2 + 1 = 267
(2) 7 → 23 → 67 → 203 → 607 → ?
Pattern: ×3 +2, ×3 −2, ×3 +2, ×3 −2, …
Next: 607×3 + 2 = 1823
(3) 6 → 27 → 105 → 423 → 1689 → ?
Pattern: ×4 +3, ×4 −3, ×4 +3, ×4 −3, …
Next: 1689×4 + 3 = 6759
✅ Answers: (1) 267, (2) 1823, (3) 6759