Complete: 2, 5, 10, 17, 26, 37, ?
Pattern: n² + 1 for n = 1, 2, 3... gives 2, 5, 10, 17, 26, 37, 50
Find missing term: 144, 121, 100, 81, 64, ?
Squares in descending order: 12², 11², 10², 9², 8², 7² = 49
Complete the series: 3, 7, 16, 35, 74, ?
Each term = 2 × (previous term) + 1. So 2 × 74 + 7 = 155
Find the next term: 1, 3, 7, 15, 31, 63, ?
Each term = 2^n - 1. For n=7: 2^7 - 1 = 127
Complete: 4, 6, 12, 14, 28, 30, ?
Alternating operations: +2, ×2, +2, ×2, +2, ×2. So 30 × 2 = 60
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Find missing: 2, 3, 5, 8, 13, 21, 34, ?
Fibonacci sequence where each term is sum of previous two: 21 + 34 = 55
Complete the series: 11, 22, 44, 88, 176, ?
Each term is multiplied by 2: 11 × 2 = 22, 22 × 2 = 44... 176 × 2 = 352
Find the pattern: 1, 4, 9, 16, 25, 36, 49, ?
Perfect squares: 1², 2², 3², 4², 5², 6², 7², 8² = 64
Complete: 7, 14, 28, 35, 70, 77, ?
Pattern alternates: ×2, ×2, +7, ×2, +7, ×2. So 77 × 2 = 154
Find missing term: 2, 6, 12, 20, 30, 42, ?
Pattern: n(n+1) for n = 1, 2, 3... gives 2, 6, 12, 20, 30, 42, 56
Find next: 3, 12, 27, 48, 75, ?
Pattern: 3×1², 3×2², 3×3², 3×4², 3×5², 3×6² = 108
Complete: 1, 2, 4, 7, 11, 16, 22, ?
Differences form sequence 1, 2, 3, 4, 5, 6, 7: 22 + 7 = 29
Complete the series: 6, 13, 22, 33, 46, ?
Differences: 7, 9, 11, 13, 15. Pattern increases by 2 each time: 46 + 15 = 61
Find the next term: 2, 8, 18, 32, 50, 72, ?
Pattern: 2n(n+1) for n=1,2,3... gives 2, 8, 18, 32, 50, 72, 98
Complete: 121, 144, 169, 196, 225, ?
Squares of consecutive integers: 11², 12², 13², 14², 15², 16² = 256
Find missing term: 10, 11, 13, 16, 20, 25, ?
Differences: 1, 2, 3, 4, 5, 6. So 25 + 6 = 31
Complete the series: 5, 15, 30, 50, 75, ?
Pattern: 5×1, 5×3, 5×6, 5×10, 5×15, 5×21. Multipliers follow triangular numbers: 105
Complete the series: 2, 3, 5, 8, 13, 21, ?
This is the Fibonacci sequence where each term is the sum of the previous two terms. 13 + 21 = 34
Find the missing term: 5, 10, 20, 40, 80, ?
Each term is multiplied by 2. 80 × 2 = 160
Complete: 1, 1, 2, 3, 5, 8, 13, 21, 34, ?
Fibonacci sequence continues: 21 + 34 = 55
