Question

Look at this series: 14, 28, 20, 40, 32, 64, ... What number should come next?
A. 52
B. 56
C. 96
D. 128

Answer 1

Hey there!

14,28,20,40,32,64...

1st number = 14

2nd number = 14×2 = 28

3rd number = 28-8 = 20

4th number = 20×2 = 40

5th number = 40-8 = 32

6th number = 32×2 = 64

7th number = 64-8 = 56

So, the next number is 56.

Hence option (B) is the correct answer.

:)

Answer 2

Given:

A series of numbers 14, 28, 20, 40, 32, 64.

To Find:

The next term of the sequence.

Solution:

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

1. The first term of the sequence is 14.

2. The second term of the sequence is 28, it is obtained using the logic,

= > 28 = 14 x 2,

3. The third term of the sequence is 20, it is obtained using the logic,

= > 20 = 28 – 8,

4. The fourth term of the sequence is 40, it is obtained using the logic,

= > 40 = 20 x 2,

5. The fifth term of the sequence is 20, it is obtained using the logic,

= > 32 = 40 – 8,

6. The sixth term of the sequence is 40, it is obtained using the logic,

= > 64 = 32 x 2,

7. The logic in the given series is alternate subtraction of 8 of present term and multiplication of present term with 2.

8. Hence, the seventh term of the series can be calculated using the above logic,

= > Seventh term = 64 – 8 = 56.

Therefore, the next term of the sequence is 56. (Option B is the correct answer).