Complete the Decimal Sequence: 0.5, 0.6, 0.7, Finding the Next Three Terms

Question

Complete the following sequence:

0.5,0.6,0.7,?,?,? 0.5,0.6,0.7,?,?,\text{?}

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the pattern in the given sequence.
  • Step 2: Continue the pattern to find the missing terms.

Now, let's work through each step:

Step 1: Look at the given sequence: 0.5,0.6,0.70.5, 0.6, 0.7. We notice that each term increases by 0.10.1.

Step 2: To continue the pattern, add 0.10.1 to the last given term, 0.70.7:

  • Next term: 0.7+0.1=0.80.7 + 0.1 = 0.8
  • Next term after 0.80.8: 0.8+0.1=0.90.8 + 0.1 = 0.9
  • Final term to find: 0.9+0.1=1.00.9 + 0.1 = 1.0

Therefore, the complete sequence is: 0.5,0.6,0.7,0.8,0.9,10.5, 0.6, 0.7, 0.8, 0.9, 1.

We can verify this matches choice number 1 in the provided answers:

0.8,0.9,10.8, 0.9, 1.

Answer

0.8,0.9,1 0.8,0.9,1