Question

4, 4, 8, 24, 96, ? find the missing number​

Answer 1

Answer:

480

Step-by-step explanation:

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Answer 2

The missing number i.e. 6th term of the given series is 480.

The logic of the series of numbers is as follows :

Initial Number to start = 4

Second number i.e. 4 = 4 * 1

Third Number     i.e. 8 = 4 * 2

Fourth Number   i.e. 24 = 8 * 3

Fifth Number       i.e. 96 = 24 * 4

The second number i.e. $X_{2}$ is 1 times the first number. The third number i.e. $X_{3}$ is twice the second number. The fourth number i.e. $X_{4}$ is thrice the third number and so on.

Thus, the general logic is that the Nth number in the series is (N-1) times the (N-1)th number.

                     $X_{n} = (n-1) * X_{n-1}$

We need to find the 6th term in the sequence ( n= 6 ) :

                       $X_{6} = (6-1) * X_{6-1}$

                             $= 5 * X_{5}$

                             $= 5 * 96$

                             $= 480$

Hence, 480 is the missing number in the given mental ability series.

To learn more about Missing Number Series, visit

https://brainly.in/question/39090312

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