Question

What will be the next number in the following sequence 3, 12, 33, 72?

Answer 1

Step-by-step explanation:

105 is the righe answer

Answer 2

Given:

• A sequence is given 3, 12, 33, 72 ?

To Find:

• Missing number of the sequence.

Solution:

Following pattern is used in the sequence

1. First digit is cube of 1 + 2 (even number).
2. second digit is cube of 2 + 4 (previous number + 2).
3. Third digit is cube of 3 + 4 (previous number + 2).

By applying above pattern to all number we get the last number.

         ⇒   $1^3+2 = 1 + 2 = 3$

         ⇒    $2^3+4 = 8 + 4 = 12$

         ⇒   $3^3+6 = 27 + 6 = 33$

         ⇒    $4^3+8 = 64 + 8 = 72$

         ⇒    $5^3+10 = 125 + 10 = 135$

Thus, the missing number is 135.