Type the missing numbers in this sequence: -8, _____, 2, 7, _____, 17

Question

Type the missing numbers in this sequence:  -8,    _____,    2,    7,    _____,    17

Bytelearn · Accepted Answer

Identify Pattern: First, let's try to identify a pattern in the given sequence. Since there are two missing numbers, we can't directly calculate the common difference. However, we can use the numbers that are given to find the common difference by looking at the difference between 7 and 2, and then between 17 and 7. Calculation: 7 - 2 = 5, 17 - 7 = 10Calculate Common Difference: The differences we found are not the same, which suggests that the common difference might change between the numbers. To find the pattern, we need to consider the possibility of a sequence where the common difference itself is increasing by a constant amount. Let's assume the common difference increases by a constant amount and find that amount using the differences we have. Calculation for the increase in common difference: 10 - 5 = 5Find Increase in Common Difference: Now that we have found that the common difference increases by 5, we can work backwards from 2 to find the first missing number. If the difference between 7 and 2 is 5, then the difference between 2 and the missing number should be less than 5. Let's subtract 5 from the difference we found between 7 and 2 to find the previous common difference. Calculation: 5 - 5 = 0

Type the missing numbers in this sequence: $\newline$ $-8$ , _, $2$ , $7$ , _, $17$

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Type the missing numbers in this sequence: $\newline$ $-8$ , _, $2$ , $7$ , _, $17$