Type the missing numbers in this sequence: _____, _____, 0, 10, 20, 30

Identify Pattern: First, let's try to identify a pattern in the given sequence. We can do this by subtracting each number from the next number in the sequence. Starting from the known numbers, we subtract 10 from 20, then 20 from 30. Calculation: 20 - 10 = 10, 30 - 20 = 10Determine Common Difference: From the above step, we can see that the difference between each pair of consecutive known numbers is 10. This suggests that the sequence is an arithmetic sequence with a common difference of 10.Find First Missing Number: To find the missing numbers before 0, we can subtract the common difference from the number after it in the sequence. Calculation for the first missing number: 0 - 10 = -10Find Second Missing Number: Now, we can find the second missing number by subtracting the common difference from the first missing number we just found. Calculation for the second missing number: -10 - 10 = -20

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Type the missing numbers in this sequence: $\newline$ $\_\_$ , $\_\_$ , $0$ , $10$ , $20$ , $30$

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Algebra 2

Find terms of an arithmetic sequence

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Q. Type the missing numbers in this sequence:

\newline

\_\_

\_\_

0

10

20

30

Identify Pattern: First, let's try to identify a pattern in the given sequence. We can do this by subtracting each number from the next number in the sequence. Starting from the known numbers, we subtract $10$ from $20$ , then $20$ from $30$ . $\newline$ Calculation: $20 - 10 = 10$ , $30 - 20 = 10$
Determine Common Difference: From the above step, we can see that the difference between each pair of consecutive known numbers is $10$ . This suggests that the sequence is an arithmetic sequence with a common difference of $10$ .
Find First Missing Number: To find the missing numbers before $0$ , we can subtract the common difference from the number after it in the sequence. $\newline$ Calculation for the first missing number: $0 - 10 = -10$
Find Second Missing Number: Now, we can find the second missing number by subtracting the common difference from the first missing number we just found. $\newline$ Calculation for the second missing number: $-10 - 10 = -20$