Question

20, 12, 10, 13, 22.5,?​

Answer 1

Answer:

17. is the answer i think

Answer 2

Given:

A series of numbers 20, 12, 10, 13, 22.5.

To Find:

The next term of the series.

Solution:

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

• The second term is obtained using the logic,

=> 12 = (20/2) + 2.

• The third term is obtained using the logic,

=> 10 = (12/2) + 4. ( 4 = 2 x 2)

• The fourth term is obtained using the logic,

=> 13 = (10/2) + 8. ( 8 = 2 x 2 x 2)

• The fifth term is obtained using the logic,

=> 22.5 = (13/2) + 16. ( 16 = 2 x 2 x 2 x 2 )

• From the above calculations, we can conclude that,

1. The next number is equal to (previous number /2) + x. The number is added to 2, 4, 8, 16 which is a geometric progression. Hence, the next values of x will be 32, 64, 128, 256, and so on.

• Therefore, the sixth term is calculated as,

=> Sixth term = (22.5/2) + 32), ( 32 = 2 x 2 x 2 x 2 x 2)

=> Sixth term = 43.25.

Therefore, the next term of the given series 20, 12, 10, 13, 22.5  is 43.25.