To find [tex]\( a_3 \)[/tex] in the given sequence [tex]\( 0.25, 0.5, 0.75, 1, 1.25, 1.5, \ldots \)[/tex], we should identify the third term of the sequence.
The sequence is ordered as follows:
1. [tex]\( a_1 = 0.25 \)[/tex]
2. [tex]\( a_2 = 0.5 \)[/tex]
3. [tex]\( a_3 = 0.75 \)[/tex]
4. [tex]\( a_4 = 1 \)[/tex]
5. [tex]\( a_5 = 1.25 \)[/tex]
6. [tex]\( a_6 = 1.5 \)[/tex]
Here, we can clearly see that the third term of the sequence is [tex]\( a_3 = 0.75 \)[/tex].
Thus, the value of [tex]\( a_3 \)[/tex] is [tex]\( 0.75 \)[/tex].
