Govt. Exams
Entrance Exams
Pattern: Each term is 2 times the previous term plus 1. 3→2(3)+(-1)=5, 5→2(5)-1=9, 9→2(9)-1=17, 17→2(17)-1=33, 33→2(33)-1=65, 65→2(65)-1=129.
Pattern: Each term is obtained by doubling the previous term and subtracting a decreasing value. 5→7 (+2), 7→11 (+4), 11→19 (+8), 19→35 (+16), 35→67 (+32). The differences are powers of 2.
Differences: +1, +2, +3, +4, +5, +6, +7. Next difference is 7, so 30 + 7 = 37
Differences: +1, +3, +5, +7, +9, +11. Next difference is 11, so 29 + 11 = 40
Prime numbers series: 2, 3, 5, 7, 11, 13, 17, 19, 23
Perfect cubes: 1³, 2³, 3³, 4³, 5³, 6³, 7³. Missing term is 6³ = 216
Differences: -1, -2, -3, -4, -5, -6, -7, -8. After 85, subtract 6 to get 79
Differences: +1, +2, +3, +4, +5, +6, +7. Next difference is 7, so 22 + 7 = 29
Differences: +2, +3, +4, +5, +6, +7, +8. Next difference is 8, so 31 + 8 = 39
Triangular numbers: 1, 1+2=3, 3+3=6, 6+4=10, 10+5=15, 15+6=21, 21+7=28
