Find the missing number: 4, 9, 16, 25, 36, ?, 64
These are perfect squares: 2², 3², 4², 5², 6², 7², 8². Missing is 7² = 49
Complete: 1, 1, 2, 3, 5, 8, 13, ?, 34
Fibonacci sequence where each term is sum of previous two. 8 + 13 = 21
Find next term: 7, 14, 28, 56, 112, ?
Each term is multiplied by 2. 112 × 2 = 224
Complete the series: 5, 11, 23, 47, 95, ?
Pattern: Multiply by 2 and add 1. (95 × 2) + 1 = 191
Find the missing number: 2, 6, 12, 20, 30, ?, 56
Pattern: n(n+1) where n = 1,2,3,4,5,6,7. For n=6: 6×7 = 42
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Complete: 1, 4, 9, 16, 25, ?, 49, 64
Perfect squares: 1², 2², 3², 4², 5², 6², 7², 8². Missing is 6² = 36
Find next: 3, 6, 12, 24, 48, ?
Each term doubles. 48 × 2 = 96
Complete the series: 1, 2, 3, 5, 8, 13, 21, ?, 55
Modified Fibonacci: 13 + 21 = 34
Find the pattern: 10, 20, 40, 80, 160, ?
Each term is multiplied by 2. 160 × 2 = 320
Complete: 2, 4, 8, 16, ?, 64, 128
Powers of 2: 2¹, 2², 2³, 2⁴, 2⁵, 2⁶, 2⁷. Missing is 2⁵ = 32
Find missing: 1, 3, 9, 27, 81, ?
Powers of 3: 3⁰, 3¹, 3², 3³, 3⁴, 3⁵. Missing is 3⁵ = 243
Complete the series: 5, 10, 20, 40, ?, 160
Each term is multiplied by 2. 40 × 2 = 80
Find next term: 2, 3, 5, 7, 11, 13, ?, 19
Prime numbers sequence: 2, 3, 5, 7, 11, 13, 17, 19
Complete: 100, 50, 25, 12.5, ?, 3.125
Each term is divided by 2. 12.5 ÷ 2 = 6.25
Find the missing number: 1, 4, 10, 20, 35, ?
Tetrahedral numbers or pattern with differences 3, 6, 10, 15, 19. Answer: 35 + 19 = 54
Complete: 3, 8, 15, 24, 35, ?, 63
Pattern: n² + 2n where n = 1,2,3,4,5,6,7. For n=6: 36 + 12 = 48
Find next: 1, 8, 27, 64, 125, ?
Perfect cubes: 1³, 2³, 3³, 4³, 5³, 6³. Missing is 6³ = 216
Complete the series: 2, 8, 18, 32, 50, ?, 98
Pattern: 2n² where n = 1,2,3,4,5,6,7. For n=6: 2(36) = 72
Complete the series: 1, 2, 6, 24, 120, ?
Each term is the factorial of its position: 1!, 2!, 3!, 4!, 5!, 6! = 720
Find the next number: 5, 6, 8, 11, 15, 20, ?
Differences increase by 1 each time: +1, +2, +3, +4, +5, +6. So 20 + 6 = 26
