Govt. Exams
Entrance Exams
Triangular numbers: 1, 1+2=3, 1+2+3=6, 1+2+3+4=10, etc. Next is 1+2+3+4+5+6+7 = 28
Differences: +3, +5, +7, +9, +11. Next difference is +11, so 26 + 11 = 37
Each term is multiplied by 4 (powers of 4). 256 × 4 = 1024
Differences are: -1, -2, -3, -4, -5. So next is 90 - 5 = 85
Differences: 1, 2, 3, 4, 5, 6. So 25 + 6 = 31
Differences: 7, 9, 11, 13, 15. Pattern increases by 2 each time: 46 + 15 = 61
Differences form sequence 1, 2, 3, 4, 5, 6, 7: 22 + 7 = 29
Pattern: 3×1², 3×2², 3×3², 3×4², 3×5², 3×6² = 108
Pattern: n(n+1) for n = 1, 2, 3... gives 2, 6, 12, 20, 30, 42, 56
Pattern alternates: ×2, ×2, +7, ×2, +7, ×2. So 77 × 2 = 154