Number Series

user January 8, 2024

(26) Examine this series: 11, 22, 35, 50, … What number should come next?

(a) 64
(b) 63
(c) 67
(d) 72

Correct Answer: (c) 67
$This series is based on adding consecutive prime numbers to the previous term: 11 + 11 = 22, 22 + 13 = 35, 35 + 15 = 50. So, the next prime number is 17, and when added to 50, it becomes 67.$

(27) Investigate this pattern: 6, 11, 18, 27, … What number should come next?

(a) 38
(b) 40
(c) 43
(d) 45

Correct Answer: (a) 38
$This series represents consecutive square numbers minus one: 6 = 3^2 - 1, 11 = 4^2 - 1, 18 = 5^2 - 1, 27 = 6^2 - 1. So, the next term is 7^2 - 1 = 38.$

(28) Consider this sequence: 8, 12, 17, 23, … What number is next?

(a) 29
(b) 30
(c) 30
(d) 31

Correct Answer: (c) 30
$This series is based on adding consecutive positive integers: 8 + 4 = 12, 12 + 5 = 17, 17 + 6 = 23. So, the next term is 23 + 7 = 30.$

(29) Investigate this pattern: 4, 7, 12, 19, … What number should come next?

(a) 24
(b) 26
(c) 28
(d) 30

Correct Answer: (c) 28
$This series is characterized by adding consecutive prime numbers to the previous term: 4 + 3 = 7, 7 + 5 = 12, 12 + 7 = 19. So, the next prime number is 11, and when added to 19, it becomes 30.$

(30) Look at this series: 3, 6, 12, 24, … What number should come next?

(a) 42
(b) 48
(c) 54
(d) 60

Correct Answer: (b) 48
$This series is based on doubling the previous number: 3 \times 2 = 6, 6 \times 2 = 12, 12 \times 2 = 24. So, the next term is 24 \times 2 = 48.$

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