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

Video Solution

Solution Steps

00:00 Complete the sequence

00:04 Subtract between the numbers to find the difference

00:27 This is the difference between terms

00:39 Let's verify the pattern is maintained, subtract between the following numbers

00:55 We see the difference is equal, therefore the pattern is maintained

01:06 Let's use this pattern and add the difference to find the next term

01:33 This is the next term, let's use the same method for the remaining terms

02:07 And this is the solution to the question

Step-by-Step Solution

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 $0.7, 0.6, 0.5$ .