Find the Next Term in the Sequence: 1, 0, -1, -2, -3, -4, ?

Question

1,0,−1,−2,−3,−4,? 1,0,-1,-2,-3,-4,\text{?}

Video Solution

Solution Steps

00:00 Find the missing term in the sequence
00:03 Found 2 consecutive terms on the axis
00:10 We can see that the progression direction is negative (leftward)
00:16 Let's find the difference between the terms
00:22 Let's verify that this difference holds between the next terms as well
00:33 We can see that the difference remains constant between terms
00:41 Therefore, we'll use this difference to find the next term
00:48 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the pattern present in the sequence.
    The sequence provided is 1,0,−1,−2,−3,−41, 0, -1, -2, -3, -4.
  • Step 2: Recognize that each number is decreasing by 1.
    This indicates an arithmetic sequence with a common difference of −1-1.
  • Step 3: Determine the next number using the pattern.
    Starting with −4-4, subtract 11 to find the next term.

Now, let's work through each step:
Step 1: The sequence starts at 11 and each subsequent number decreases by 11.
Step 2: Identify this consistent decrease signifying an arithmetic sequence with a common difference d=−1d = -1.
Step 3: Calculate the next term after −4-4:
−4−1=−5 -4 - 1 = -5

Therefore, the next number in the sequence is −5 -5 .

Answer

−5 -5

More Questions

Related Subjects

Addition and Subtraction of Real Numbers

Question Types

Addition and Subtraction of Directed Numbers: Regularity