Complete the Decimal Sequence: Finding Missing Terms in 1, 0.8, 0.6, ?, ?

Complete the following sequence:

1,0.8,0.6,?,? 1,0.8,0.6,?,\text{?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:07 Let's complete the sequence.
00:14 First, subtract between the numbers. This will help us find the difference.
00:46 Great job! This is the difference between the terms.
00:59 Now, let’s check if this pattern continues. Subtract between the next numbers.
01:20 We see that the difference remains the same. So, the pattern holds.
01:33 Let's use this pattern now. Add the difference to find the next term.
01:58 This is the next term. Let's use the same method for the rest of the terms.
02:34 And there you have it! That's the solution to our question.

Step-by-step written solution

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1

Understand the problem

Complete the following sequence:

1,0.8,0.6,?,? 1,0.8,0.6,?,\text{?}

2

Step-by-step solution

To solve this problem, we'll look for a consistent pattern in the given sequence:

  • Step 1: Identify the difference between consecutive terms.
    - From 1 1 to 0.8 0.8 , the difference is 0.2 0.2 (i.e., 1−0.8=0.2 1 - 0.8 = 0.2 ).
    - From 0.8 0.8 to 0.6 0.6 , the difference is 0.2 0.2 (i.e., 0.8−0.6=0.2 0.8 - 0.6 = 0.2 ).
  • Step 2: Determine the next terms using this difference.
    - The next term after 0.6 0.6 will be 0.6−0.2=0.4 0.6 - 0.2 = 0.4 .
    - The term after that will be 0.4−0.2=0.2 0.4 - 0.2 = 0.2 .

Therefore, the sequence 1,0.8,0.6,?,? 1, 0.8, 0.6, ?, ? continues as 0.4,0.2 0.4, 0.2 .

The correct answer is 0.4,0.2 0.4, 0.2 , which corresponds to choice 4.

3

Final Answer

0.4,0.2 0.4,0.2

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