Mr. Numbers, a mathematician, has been challenged by a rival mathematician, Ms. Maths. She has dared him to find the missing number in a sequence of numbers. Could you help Mr. Numbers?

$ 1,2,2,4,2 $,

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Solution

The correct option is D 4
Listing out the first few prime numbers, we get:

$2, 3, 5, 7, 11, 13$

Now, calculating the difference between the neighbouring primes, we get:

$3 - 2 = 1$
$5 - 3 = 2$
$7 - 5 = 2$
$11 - 7 = 4$
$13 - 11 = 2$

The difference between the neighbouring primes exactly matches the numbers in the sequence given.

Now, the next prime number after 13 is 17.

Hence, the next number in the sequence will be:
$17 - 13 = 4$

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Mr. Numbers, a mathematician, has been challenged by a rival mathematician, Ms. Maths. She has dared him to find the missing number in a sequence of numbers. Could you help Mr. Numbers? \( 1,2,2,4,2 \),

Mr. Numbers, a mathematician, has been challenged by a rival mathematician, Ms. Maths. She has dared him to find the missing number in a sequence of numbers. Could you help Mr. Numbers?

\( 1,2,2,4,2 \),