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

Question

Complete the following sequence:

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

Video Solution

Solution Steps

00:00 Complete the sequence
00:07 Subtract between the numbers to find the difference
00:39 This is the difference between terms
00:52 Let's verify the pattern holds, subtract between the following numbers
01:13 We see the difference is equal, therefore the pattern holds
01:26 Let's use this pattern and add the difference to find the next term
01:51 This is the next term, let's use the same method for the remaining terms:
02:27 And this is the solution to the question

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., 10.8=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., 0.80.6=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 0.60.2=0.4 0.6 - 0.2 = 0.4 .
    - The term after that will be 0.40.2=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.

Answer

0.4,0.2 0.4,0.2