Govt. Exams
Entrance Exams
These are triangular numbers. Each term adds consecutive integers: 1, 1+2=3, 3+3=6, 6+4=10, 10+5=15, 15+6=21, 21+7=28, 28+8=36.
Pattern: n(n+1) where n starts from 1. 1×2=2, 2×3=6, 3×4=12, 4×5=20, 5×6=30, 6×7=42, 7×8=56.
Powers of 2: 2¹, 2², 2³, 2⁴, 2⁵, 2⁶, 2⁷, 2⁸ = 256
Each term is multiplied by 2. 112 × 2 = 224
Fibonacci sequence: 13 + 21 = 34. Each term is sum of previous two
Each term is multiplied by 2. 48 × 2 = 96
Series of perfect squares: 1², 2², 3², 4², 5², 6², 7², 8², 9². Missing term is 8² = 64
This is a Fibonacci-like series where each term is the sum of the previous two terms. 21 + 34 = 55
Powers of 2: 2⁰, 2¹, 2², 2³, 2⁴, 2⁵, 2⁶, 2⁷ = 128
Perfect squares: 2², 3², 4², 5², 6², 7², 8² = 64