Complete the Decimal Sequence: Finding Missing Terms in 0, 0.01, 0.02, ?, ?

Question

Complete the following sequence:

0,0.01,0.02,?,? 0,0.01,0.02,?,\text{?}

Video Solution

Step-by-Step Solution

To complete the sequence, let's observe the given numbers: 0,0.01,0.02 0, 0.01, 0.02 .

Step 1: Calculate the difference between the consecutive terms:

  • Difference between 0 0 and 0.01 0.01 : 0.010=0.01 0.01 - 0 = 0.01 .
  • Difference between 0.01 0.01 and 0.02 0.02 : 0.020.01=0.01 0.02 - 0.01 = 0.01 .

Step 2: The difference between each term is 0.01 0.01 , suggesting a pattern where each term increases by 0.01 0.01 .

Step 3: Apply this pattern to find the next terms:

  • The term after 0.02 0.02 is 0.02+0.01=0.03 0.02 + 0.01 = 0.03 .
  • The term after 0.03 0.03 is 0.03+0.01=0.04 0.03 + 0.01 = 0.04 .

Therefore, the completed sequence is 0,0.01,0.02,0.03,0.04 0, 0.01, 0.02, 0.03, 0.04 .

Comparing this with the choices provided, the correct choice is:

0.03,0.04 0.03,0.04

Answer

0.03,0.04 0.03,0.04