Math, asked by Rishabh1205, 9 months ago

What will come in place of question mark (?) in the following number series?
126, 18, 108, 21.6, 86.4, 28.8,?​

Answers

Answered by binnymajumder
18

Answer:

57.6

Step-by-step explanation:

Differences are

×1/7,×6,×1/5,×4,×1/3,×2

Mark me as brainliest

Answered by Hansika4871
0

Given:

A series of numbers 126, 18, 108, 21.6, 86.4, 28.8.

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 126, 18, 108, 21.6, 86.4, 28.8.

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

=> Second term = 18 = 126/7, ( First term / 7 )

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

=>Third term = 108 = 18 x 6, ( Second term x 6 )

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

=>Fourth term = 21.6 = 108/5, ( Third term / 5 )

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

=>Fifth term = 86.4 = 21.6 x 4, ( Fourth term x 4 )

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

=>Sixth term = 28.8 = 86.4/3, ( Fifth term / 3 )

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

=> Seventh term = Sixth term x 2 = 28.8 x 2 = 57.6

=> The next number in the series is 57.6

Therefore, the next number in the series is 57.6

Similar questions