Question

Q 1 In the below series, find the missing number: 3 12 27 48 9 24 45 72 15 36______ 96​

Answer 1

Answer:

27 ? Is it 27. Because I am am confused. Can you please tell the pattern I will tell the answer

Answer 2

Given:

A sequence 3, 12, 27, 48, 9, 24, 45, 72, 15, 36, ___, 96.

To Find:

The missing number in the mentioned series.

Solution:

The given problem can be solved by developing a common logic among the given numbers.

• The second number in the sequence is obtained using the following logic,

=> 12 = 3 + 9. ( First term + 9).

• The third number in the sequence is obtained using the following logic,

=> 27 = 12 + 15. ( Second term + 9 + 6).

• The fourth number in the sequence is obtained using the following logic,

=> 48 = 27 + 21. ( Third term + 9 + 6 + 6).

• The fifth term is obtained using the following logic,

=> 9 = 3 + 6. ( First term + 6).

• The sixth number in the sequence is obtained using the following logic,

=> 24 = 9 + 15. ( Fifth term + 15).

• The seventh number in the sequence is obtained using the following logic,

=> 45 = 24 + 21. ( Sixth term + 15 + 6).

• The eighth number in the sequence is obtained using the following logic,

=> 72 = 45 + 27. ( Seventh term + 15 + 6 + 6).

• The Nineth number in the sequence is obtained using the following logic,

=> 15=  3 + 12 . ( First term + 12).

From the above calculations, the following are the common patterns in the sequence.

• The sequence increases 3 times and then has a decrease in the value. The decreases value depends on the first number of the sequence.
• Each number is obtained from the previous numbers with some common addition.

• The number 36 is obtained by using the logic,

=> 36 = 15 + 21.

• The next term in the series can be obtained using the same logic. Hence,

=> New term = 36 +27,

=> New term = 63.

Therefore, the missing number in the sequence is 63.