Type the missing numbers in this sequence: -71, -74, _____, -80, _____, -86

Question

Type the missing numbers in this sequence:  -71,    -74,    _____,    -80,    _____,    -86

Bytelearn · Accepted Answer

Identify Pattern: Is the given sequence geometric or arithmetic? Here, we need to determine if the sequence follows a pattern of addition/subtraction (arithmetic) or multiplication/division (geometric). By looking at the sequence, we can see that the numbers seem to be decreasing by a constant amount, which suggests an arithmetic sequence.Find Common Difference: Find the common difference in the arithmetic sequence. To find the common difference, we need to look at the difference between the terms that are given. We can use the terms -80 and -86 to find the common difference. -86 - (-80) = -86 + 80 = -6 Common Difference: -6Find First Missing Number: Find the first missing number in the sequence. To find the missing number before -80, we need to subtract the common difference from -80. -80 - (-6) = -80 + 6 = -74 However, this is incorrect because -74 is already in the sequence and we are looking for the term before it. We need to add the common difference to the second term (-74) instead. -74 + (-6) = -74 - 6 = -80 This is also incorrect because -80 is the term after the missing number. We need to subtract the common difference from the second term (-74) to find the first missing number. -74 - (-6) = -74 + 6 = -68

Type the missing numbers in this sequence: $\newline$ $-71$ , $-74$ , _, $-80$ , _, $-86$

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Type the missing numbers in this sequence:\newline−71-71−71, −74-74−74, _____, −80-80−80, _____, −86-86−86

Type the missing numbers in this sequence: $\newline$ $-71$ , $-74$ , _, $-80$ , _, $-86$