Math, asked by bhargavisrinivas281, 4 months ago

find the missing series given below
442, 218, 106, ?, 22,8

Answers

Answered by Hansika4871
0

Given:

A series of numbers 442, 218, 106, ?, 22,8

To Find:

The missing number in the series is?

Solution:

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

1. The given series is 442, 218, 106,? , 22, 8

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

=> Second term = 218 = 442 - 224,

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

=>Third term = 106 = 218 - 112, ( 112 = 224/2 )

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

=> Sixth term = 8 = 22 - 14, ( 14 = 224/16)

5. The missing term can be found using the same logic as above,

=> Fourth term = missing term = 106 - (224/4),

=> Fourth term = missing term = 50.

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

=> Fifth term = 50 - (224/8),

=> Fifth term = 50 - 28,

=> Fifth term = 22.

7. Hence the missing number in the series is 50.

Therefore, the missing number in the series is 50.

Answered by ashutoshmishra3065
0

Answer:

The missing number is 50.

Step-by-step explanation:

Given: A series of numbers 442, 218, 106, ?, 22,8

To Find:

What is the series' missing number?

Solution:

The problems may be solved by having a common logic between all of the terms.

1. The given series is 442, 218, 106, ? , 22, 8

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

=> Second term = 218 = 442 - 224,

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

=>Third term = 106 = 218 - 112,  ( 112 = 224/2 )

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

=> Sixth term = 8 = 22 - 14,  ( 14 = 224/16)

5. The missing term can be found using the same logic as above,

=> Fourth term = missing term = 106 - (224/4),

=> Fourth term = missing term = 50.

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

=> Fifth term = 50 - (224/8),

=> Fifth term = 50 - 28,

=> Fifth term = 22.

7. Hence the missing number in the series is 50.

Therefore, the missing number in the series is 50.

#SPJ2

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