Complete the Decimal Sequence: 1, 0.9, 0.8, Missing Terms

To solve this problem, let's determine the rule for creating the sequence:

• Step 1: Identify the given numbers in the sequence: 1, 0.9, 0.8.
• Step 2: Determine the difference between consecutive terms:
  • From 1 to 0.9, the difference is 0.1 (i.e., 1 - 0.9 = 0.1).
  • From 0.9 to 0.8, the difference is also 0.1 (i.e., 0.9 - 0.8 = 0.1).
• Step 3: Notice the pattern is a decrease of 0.1 between each term.
• Step 4: Apply this pattern to find the next terms:
  • The next term after 0.8 is 0.8 - 0.1 = 0.7.
  • Following 0.7, the next term is 0.7 - 0.1 = 0.6.
  • Finally, after 0.6, the term is 0.6 - 0.1 = 0.5.

Therefore, the next three terms in the sequence are $0.7, 0.6, 0.5$.