Question

12,25,49,99,197,395,?​

Answer 1

Step-by-step explanation:

12

25=12*2+1

49=25*2-1

99=49*2+1

197=99*2-1

395=197*2+1

=>395*2-1=789(ans)

Answer 2

Given:

A series of numbers 12, 25, 49, 99, 197, 395, ?​

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 12, 25, 49, 99, 197, 395,?​

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

=> Second term = 25 = 12 x 2 + 1,

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

=>Third term = 49 = 25 x 2 - 1,

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

=>Fourth term = 99 = 49 x 2 + 1,

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

=>Fifth term = 197 = 99 x 2 - 1,

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

=>Sixth term = 395 = 197 x 2 + 1

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

=> Seventh term = 395 x 2 - 1,

=> Seventh term = 789.

Therefore, the next number in the series is 789.