Ascending Sequence Problem: Find First Positive in -10,-7, _, _, _

Look at the ascending sequence:

10,7,_,_,_ -10, -7, \_ , \_ , \_

Which element contains the first positive number?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the first positive element
00:04 Find the difference between each element
00:09 This is the sequence's pattern
00:15 Continue calculating sequence elements until we reach the positive element
00:30 This is the first positive element
00:37 Find its position in the sequence
00:45 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Look at the ascending sequence:

10,7,_,_,_ -10, -7, \_ , \_ , \_

Which element contains the first positive number?

2

Step-by-step solution

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

  • Step 1: Identify the common difference between the given terms.
  • Step 2: Extend the sequence using this common difference.
  • Step 3: Determine when the first term turns positive and identify its position.

Let's proceed with the solution:

Step 1: The common difference d d can be calculated by subtracting the first term from the second term:
d=7(10)=3 d = -7 - (-10) = 3 .

Step 2: Using this difference, we extend the sequence:
Third element: 7+3=4 -7 + 3 = -4
Fourth element: 4+3=1 -4 + 3 = -1
Fifth element: 1+3=2 -1 + 3 = 2

Step 3: Check when the first positive number occurs:
The sequence becomes positive at the fifth element with the value 2 2 .

Therefore, the solution to the problem is that the first positive number occurs at the Fifth element.

3

Final Answer

Fifth element

Practice Quiz

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Is there a term-to-term rule for the sequence below?

18 , 22 , 26 , 30

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