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

Question

Complete the following sequence:

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

Video Solution

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, 0.80.9=0.1 0.8 - 0.9 = -0.1 and 0.70.8=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 .

Answer

0.6,0.5,0.4 0.6,0.5,0.4