Question

5,8,12,18 .......next number in the series

Answer 1

5, 8, 12, 18, _____

=> 2+3, 3+5, 5+7, 7+11 _____

Clearly, we can see the pattern which is the sum of two consecutive prime numbers.

=> 11+13=24

=>13+17=30

∴ 5, 8, 12, 18, 24, 30...

Answer 2

Answer: Next number in the series is 24

Concept: We have to find the pattern of the series and then find the next term on the basis of pattern.

Given: Series     5,8,12,18,---

To find: The next number of the given series.

Step by step explanation:

Considering the first term of the series [5]

5 = 2 + 3         (Sum of two consecutive prime numbers)

Considering the second term of the series [8]

8 = 3 + 5          (Sum of two consecutive prime numbers)

Third term [12]

12 = 5 + 7         (Sum of two consecutive prime numbers)

Fourth term [18]

18 = 7 + 11         (Sum of two consecutive prime numbers)

Next term can be written found as

Next term = 11 + (consecutive prime number after 11)

(consecutive prime number after 11) = 13

Next term = 11 + 13

                 = 24

Hence, the answer is 24

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