Math, asked by swapnaraj0007, 1 month ago

What would be the next number in the following series?
1,5,4,16,14,42..?​

Answers

Answered by Hansika4871
4

Given:

A series of numbers 1, 5, 4, 16, 14, 42.​

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 1, 5, 4, 16, 14, 42.​

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

=> Second term = 5 = 1 x 5, ( First term x 5 )

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

=>Third term = 4 = 5 - 1, ( Second term - 1 )

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

=>Fourth term = 16 = 4 x 4, ( Third term x 4 )

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

=>Fifth term = 14 = 16 - 2, ( Fourth term - 2 )

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

=>Sixth term = Fifth term x 3 = 14 x 3 = 42, ( Fifth term x 3 )

=> A similar pattern can be observed between the odd and even terms respectively.

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

=> Seventh term = Sixth term - 3 = 42 - 3 = 39.

Therefore, the next number in the series is 39.

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