Type the missing number in this sequence: _____, 76, 70, 64, 58

Identify Pattern: Identify the pattern in the sequence. The sequence provided is 76, 70, 64, 58. We need to determine if the sequence is arithmetic (where the difference between terms is constant) or geometric (where the ratio between terms is constant). By subtracting consecutive terms, we can check for an arithmetic sequence: 70 - 76 = -6 64 - 70 = -6 58 - 64 = -6 The differences are all -6, indicating an arithmetic sequence with a common difference of -6.Find Missing Number: Find the missing number in the sequence. Since the sequence is arithmetic with a common difference of -6, we can find the missing number by adding the common difference to the first known term, 76. To find the term before 76, we subtract the common difference from 76: Missing number = 76 - (-6) = 76 + 6 = 82Verify Solution: Verify the solution. To ensure that the missing number is correct, we can check if the pattern continues correctly after inserting the found number: 82, 76, 70, 64, 58 76 - 82 = -6 70 - 76 = -6 64 - 70 = -6 58 - 64 = -6 The differences are all -6, which confirms that the pattern is consistent and the missing number is correct.

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Type the missing number in this sequence: $\newline$ $\_\_\_\_$ , $76$ , $70$ , $64$ , $58$

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Q. Type the missing number in this sequence:

\newline

\_\_\_\_

76

70

64

58

Identify Pattern: Identify the pattern in the sequence. $\newline$ The sequence provided is $76, 70, 64, 58$ . We need to determine if the sequence is arithmetic (where the difference between terms is constant) or geometric (where the ratio between terms is constant). $\newline$ By subtracting consecutive terms, we can check for an arithmetic sequence: $\newline$ $70 - 76 = -6$ $\newline$ $64 - 70 = -6$ $\newline$ $58 - 64 = -6$ $\newline$ The differences are all $-6$ , indicating an arithmetic sequence with a common difference of $-6$ .
Find Missing Number: Find the missing number in the sequence. $\newline$ Since the sequence is arithmetic with a common difference of $-6$ , we can find the missing number by adding the common difference to the first known term, $76$ . $\newline$ To find the term before $76$ , we subtract the common difference from $76$ : $\newline$ Missing number = $76 - (-6) = 76 + 6 = 82$
Verify Solution: Verify the solution. $\newline$ To ensure that the missing number is correct, we can check if the pattern continues correctly after inserting the found number: $\newline$ $82, 76, 70, 64, 58$ $\newline$ $76 - 82 = -6$ $\newline$ $70 - 76 = -6$ $\newline$ $64 - 70 = -6$ $\newline$ $58 - 64 = -6$ $\newline$ The differences are all $-6$ , which confirms that the pattern is consistent and the missing number is correct.