Type the missing numbers in this sequence: _____, 4, -3, _____, -17, -24

Calculate Difference -3 and 4: Let's find the difference between the numbers we know. Calculate the difference between -3 and 4. Calculation: -3 - 4 = -7Calculate Difference -17 and -3: Now, find the difference between -17 and -3. Calculation: -17 - (-3) = -17 + 3 = -14Calculate Difference -24 and -17: The differences we found are not the same, so let's check the next pair to find a pattern. Calculate the difference between -24 and -17. Calculation: -24 - (-17) = -24 + 17 = -7Identify Pattern: Now we see that the difference between -24 and -17 is -7, which is the same as the difference between -3 and 4. So, the sequence seems to decrease by 7 each time.Find Missing Number: To find the first missing number, subtract 7 from 4. Calculation: 4 - 7 = -3, but we already have -3 as the next number, so we made a mistake. We should have added 7 to -3 to find the number before it.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Type the missing numbers in this sequence: $\newline$ $\_\_\_\_$ , $4$ , $-3$ , $\_\_\_\_$ , $-17$ , $-24$

View step-by-step help

Home

Math Problems

Algebra 2

Find terms of an arithmetic sequence

Full solution

Q. Type the missing numbers in this sequence:

\newline

\_\_\_\_

4

-3

\_\_\_\_

-17

-24

Calculate Difference $-3$ and $4$ : Let's find the difference between the numbers we know. Calculate the difference between $-3$ and $4$ . $\newline$ Calculation: $-3 - 4 = -7$
Calculate Difference $-17$ and $-3$ : Now, find the difference between $-17$ and $-3$ . $\newline$ Calculation: $-17 - (-3) = -17 + 3 = -14$
Calculate Difference $-24$ and $-17$ : The differences we found are not the same, so let's check the next pair to find a pattern. Calculate the difference between $-24$ and $-17$ . $\newline$ Calculation: $-24 - (-17) = -24 + 17 = -7$
Identify Pattern: Now we see that the difference between $-24$ and $-17$ is $-7$ , which is the same as the difference between $-3$ and $4$ . So, the sequence seems to decrease by $7$ each time.
Find Missing Number: To find the first missing number, subtract $7$ from $4$ . $\newline$ Calculation: $4 - 7 = -3$ , but we already have $-3$ as the next number, so we made a mistake. We should have added $7$ to $-3$ to find the number before it.