Complete the Decimal Sequence: Finding Missing Terms in 0.1, 0.09, ..., 0.05

Question

Complete the following sequence:

0.1,0.09,?,?,0.06,0.05 0.1,0.09,?,?,0.06,0.05

Video Solution

Step-by-Step Solution

The sequence provided is 0.1,0.09,?,?,0.06,0.050.1, 0.09, ?, ?, 0.06, 0.05.

First, observe the difference between the first two numbers of the sequence:

0.10.09=0.010.1 - 0.09 = 0.01.

This indicates that the sequence decreases by 0.010.01 between consecutive terms.

Apply this pattern to find the missing numbers:

1. From 0.090.09, subtract 0.010.01 to find the next term:
0.090.01=0.08 0.09 - 0.01 = 0.08 .

2. From 0.080.08, again subtract 0.010.01:
0.080.01=0.07 0.08 - 0.01 = 0.07 .

This reveals the sequence as:

0.1,0.09,0.08,0.07,0.06,0.050.1, 0.09, 0.08, 0.07, 0.06, 0.05.

Therefore, the missing terms in the sequence are 0.080.08 and 0.070.07.

The correct answer, matching the choice is 0.08,0.070.08, 0.07.

Answer

0.08,0.07 0.08,0.07