Complete the Decimal Sequence: 0.9, 0.8, 0.7, Find the Next Three Terms

Complete the following sequence:

0.9,0.8,0.7,?,?,? 0.9,0.8,0.7,?,?,\text{?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Complete the sequence
00:04 Subtract between the numbers to find the difference
00:22 This is the difference between terms
00:31 Let's verify the pattern is maintained, subtract between the following numbers
00:52 We see the difference is equal, therefore the pattern is maintained
01:03 Let's use this pattern and add the difference to find the next term
01:27 This is the next term, let's use the same method for the remaining terms
02:26 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Complete the following sequence:

0.9,0.8,0.7,?,?,? 0.9,0.8,0.7,?,?,\text{?}

2

Step-by-step solution

To determine the sequence's missing numbers, follow these steps:

  • Step 1: Analyze the given sequence: 0.9,0.8,0.7 0.9, 0.8, 0.7 .
  • Step 2: Calculate the common difference by subtracting consecutive terms. For instance, 0.8−0.9=−0.1 0.8 - 0.9 = -0.1 and 0.7−0.8=−0.1 0.7 - 0.8 = -0.1 , confirming a common difference of −0.1 -0.1 .
  • Step 3: Continue the pattern using this common difference: - Starting from 0.7 0.7 , subtract 0.1 0.1 , giving 0.6 0.6 as the next number. - From 0.6 0.6 , subtract 0.1 0.1 again, resulting in 0.5 0.5 . - Finally, subtract 0.1 0.1 from 0.5 0.5 , yielding 0.4 0.4 .

Thus, the completed sequence is 0.9,0.8,0.7,0.6,0.5,0.4 0.9, 0.8, 0.7, 0.6, 0.5, 0.4 .

The correct answer to complete the sequence is 0.6,0.5,0.4 0.6, 0.5, 0.4 .

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Final Answer

0.6,0.5,0.4 0.6,0.5,0.4

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