Question

6,3,12,9,36,33 what is next number?

Answer 1

Given:

A series of numbers 6, 3, 12, 9, 36, 33.

To Find:

The next term in the series is?  

Solution:

The given problem can be solved by developing a common logic between every term.  

1. The given series is 6, 3, 12, 9, 36, 33.

2. The second term in the series is obtained as,  

=> Second term = 3 = 6 - 3.  

3. The third term of the series is obtained as,  

=>Third term = 12 = 3 x 4,  

4. The fourth term of the series is obtained as,  

=>Fourth term = 9 = 12 - 3,

5. The fifth term of the series is obtained as,  

=>Fifth term = 36 = 9 x 4,  

6. The sixth term of the series is obtained as,  

=>Sixth term = 33 = 36 - 3.

=> Even term = Previous term - 3,

=> Odd term = Previous term x 4.

7. The seventh term of the series can be obtained using similar logic,

=> Seventh term = 33 x 4.

=> Seventh term = 132.

Therefore, the next number in the series is 132.

Answer 2

Answer:

=> Seventh term = 33 x 4. => Seventh term = 132. Therefore, the next number in the series is 132

Explanation:

The given problem can be solved by developing a common logic between every term.  

1. The given series is 6, 3, 12, 9, 36, 33.

2. The second term in the series is obtained as,  

=> Second term = 3 = 6 - 3.  

3. The third term of the series is obtained as,  

=>Third term = 12 = 3 x 4,  

4. The fourth term of the series is obtained as,  

=>Fourth term = 9 = 12 - 3,

5. The fifth term of the series is obtained as,  

=>Fifth term = 36 = 9 x 4,  

6. The sixth term of the series is obtained as,  

=>Sixth term = 33 = 36 - 3.

=> Even term = Previous term - 3,

=> Odd term = Previous term x 4.

7. The seventh term of the series can be obtained using similar logic,

=> Seventh term = 33 x 4.

=> Seventh term = 132.

Therefore, the next number in the series is 132.

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