Type the missing number in this sequence: 30, 39, _____, 57, 66, 75, 84

Observe Pattern: Let's observe the pattern in the sequence to determine the rule that applies to the numbers given. 30, 39, _____, 57, 66, 75, 84 We notice that each number is increasing by a certain amount. To find out the common difference, we subtract the second number from the third number in the sequence. 66 - 57 = 9Determine Common Difference: Now, let's check if this difference of 9 applies to other consecutive numbers in the sequence. 75 - 66 = 9 84 - 75 = 9 It seems that the sequence is increasing by 9 each time.Check Consistency: To find the missing number, we can subtract 9 from 57, the number that comes after the missing number. 57 - 9 = 48 Therefore, the missing number in the sequence should be 48.Find Missing Number: Let's verify our answer by checking if adding 9 to the missing number gives us the next number in the sequence. 48 + 9 = 57 Since 57 is the next number in the sequence, our calculation is correct.

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Type the missing number in this sequence: $\newline$ $30$ , $39$ , $\_$ , $57$ , $66$ , $75$ , $84$

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Q. Type the missing number in this sequence:

\newline

30

39

\_

57

66

75

84

Observe Pattern: Let's observe the pattern in the sequence to determine the rule that applies to the numbers given. $\newline$ $30, 39,$ _____, $57, 66, 75, 84$ $\newline$ We notice that each number is increasing by a certain amount. To find out the common difference, we subtract the second number from the third number in the sequence. $\newline$ $66 - 57 = 9$
Determine Common Difference: Now, let's check if this difference of $9$ applies to other consecutive numbers in the sequence. $\newline$ $75 - 66 = 9$ $\newline$ $84 - 75 = 9$ $\newline$ It seems that the sequence is increasing by $9$ each time.
Check Consistency: To find the missing number, we can subtract $9$ from $57$ , the number that comes after the missing number. $\newline$ $57 - 9 = 48$ $\newline$ Therefore, the missing number in the sequence should be $48$ .
Find Missing Number: Let's verify our answer by checking if adding $9$ to the missing number gives us the next number in the sequence. $\newline$ $48 + 9 = 57$ $\newline$ Since $57$ is the next number in the sequence, our calculation is correct.