Complete the Decimal Sequence: Finding Missing Terms in 0.9, 0.6, ?, ?

Question

Complete the following sequence:

0.9,0.6,?,? 0.9,0.6,?,\text{?}

Video Solution

Step-by-Step Solution

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

  • Step 1: Identify the sequence pattern.
  • Step 2: Calculate the differences between known terms.
  • Step 3: Use the difference to find missing terms.
  • Step 4: Validate against the given choices.

Now, let's work through each step:
Step 1: Identify the sequence pattern from the given terms 0.90.9 and 0.60.6.
Step 2: Calculate the difference between 0.90.9 and 0.60.6, which is 0.90.6=0.30.9 - 0.6 = 0.3. This indicates the sequence decreases by 0.30.3 with each term.
Step 3: Apply this difference to find the next terms:
- Subtract 0.30.3 from 0.60.6: 0.60.3=0.30.6 - 0.3 = 0.3
- Subtract 0.30.3 from 0.30.3: 0.30.3=00.3 - 0.3 = 0
Step 4: Validate against the given choices; the only choice that matches this sequence is 0.3,00.3, 0.

Therefore, the solution to the problem is 0.3,0 0.3, 0 .

Answer

0.3,0 0.3,0