What number is essential to complete the sample below? It is a straightforward mathematical sample that can be resolved with straightforward operations. Below we explain them step by step.

You are watching: 66 73 13 21 52 __ 10 20


66 73 13 21 52 __ 10 20

Method 1

Step 1

To discover which number should complete the pattern, we have to observe the numbers and also find the pattern that was adhered to in the series. Through the help of the pattern us can discover the missing number.

We room going to offer an X to the lacking number:

66 73 13 21 52 X 10 20

Step 2

By observing the numbers we find that the sample is:

66 + 7 = 73

13 + 8 = 21

52 + ? = X

10 + 10 = 20

According come the pattern, the number come be included to 52 to gain the lacking number X must be 9.

52 + 9 = X

X = 61

The number 61 is required to finish the pattern.

Method 2

To uncover which number should complete the pattern, we have to observe the numbers and also find the pattern the was adhered to in the series. With the aid of that pattern us can uncover the missing number.

Step 1

The missing number is X

66 73 13 21 52 X 10 20

Step 2

By observing the number we discover that the sample is:

73 – 66 = 7

21 – 13 = 8

X – 52 = ?


20 – 10 = 10

According to the pattern, the number that we acquired whbsci-ch.org us subtract 52 native X, must be 9

X – 52 = 9

X = 9 + 52

X = 61

The number 61 is necessary to complete the pattern.

More examples

Q. 1 What number is necessary to complete the pattern below?

106 97 89 82 76 __ 67 64

Step 1

To uncover which number should complete the pattern, we need to observe the numbers and find the pattern the was followed in the series. With the aid of the pattern us can find the missing number.

The absent number is X

106 97 89 82 76 X 67 64

Step 2

By observing the numbers we uncover that the sample is:

106 – 97 = 9

97 – 89 = 8

89 – 82 = 7

82 – 76 = 6

76 – X = ?

X – 67 = ??

67 – 64 = 3

According come the pattern, the number that we get whbsci-ch.org we subtract the lacking number X from 76, need to be 5. Whbsci-ch.org we subtract 67 from the absent number X, must be 4.

76 – X = 5 and X – 67 = 4

X = 76 – 5 X = 67 + 4

X = 71 X = 71

The absent number is 71.

The number 71 is required to finish the pattern.

Q.2 What number is necessary to finish the pattern below?

6 2 8 12 4 16 27 9 36 33 11 __

Step 1

To find which number should finish the pattern, we have to observe the numbers and also find the pattern the was followed in the series. Through the assist of the pattern us can find the absent number.

The lacking number is X:

6 2 8 12 4 16 27 9 36 33 11 X

Step 2

By observing the number we uncover that the sample is:

6 + 2 = 8

12 + 4 = 16

27 + 9 = 36

33 + 11 = X

According come the pattern, 11 have to be included to 33 to gain the lacking number X.

33 + 11 = X

X = 44

The missing number is 44

The number 44 is necessary to finish the pattern.

Second method

To uncover which number should finish the pattern, we need to observe the numbers and also find the pattern the was followed in the series. V the assist of that pattern we can discover the lacking number.

Step 1

The absent number is X:

6 2 8 12 4 16 27 9 36 33 11 X

Step 2

By observing the numbers we find that the pattern is:

8 – 6 = 4


16 – 12 = 4

36 -27 = 9

X – 33 = 11

According to the pattern, 33 have to be come subtracted from missing number to get 11.

X – 33 = 11

X = 11 + 33

X = 44

The missing number is 44

The number 44 is needed to complete the pattern.

Q.3 What number is essential to finish the pattern below?

2 6 12 20 30 42 __

Step 1

To find which number should finish the pattern, we need to observe the numbers and find the pattern the was complied with in the series. V the help of the pattern us can find the missing number.

The lacking number is X:

2 6 12 20 30 42 X

Step 2

By observing the numbers we discover that the sample is:

6 – 2 = 4

12 – 6 = 6

20 – 12 = 8

30 -20 = 10

42 – 30 = 12

X – 42 = ?

According to the pattern, the result should it is in 14, whbsci-ch.org 42 is subtracted native the lacking number X.

X – 42 = 14

X = 42 + 14

X = 56

The number 56 is essential to complete the pattern.

Q.4 What number is necessary to finish the pattern below?

6 5 7 4 8 3 9 2 __

Step 1

To discover which number should complete the pattern, we need to observe the numbers and also find the pattern that was followed in the series. V the help of that pattern we can discover the missing number.

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The lacking number is X:

6 5 7 4 8 3 9 2 X

Step 2

By observing the number we find that the pattern is differbsci-ch.orgt. That starts with decrease thbsci-ch.org increase thbsci-ch.org to decrease thbsci-ch.org again increase and so on, yet not with the same number. The number subtracted and also thbsci-ch.org included are in the series.