<h3><u>Question:</u></h3>
Identify a3 of this sequence: 0.25, 0.5, 0.75, 1, 1.25, 1.5,...a3=
<h3><u>Answer:</u></h3>
The third term of sequence is 0.75
![a_3 = 0.75](https://tex.z-dn.net/?f=a_3%20%3D%200.75)
<h3><u>Solution:</u></h3>
Given that, sequence is:
0.25, 0.5, 0.75, 1, 1.25. 1.5
Let us find the difference between terms
![0.5 - 0.25 = 0.25\\\\0.75-0.5 = 0.25\\\\1.25-1=0.25\\\\1.5-1.25=0.25](https://tex.z-dn.net/?f=0.5%20-%200.25%20%3D%200.25%5C%5C%5C%5C0.75-0.5%20%3D%200.25%5C%5C%5C%5C1.25-1%3D0.25%5C%5C%5C%5C1.5-1.25%3D0.25)
This is a arithmetic sequence
Because the difference between any term and its immediately preceding term is always 0.25
In a arithmetic sequence,
![a_1 = \text{ first term of sequnece }\\\\a_2 = \text{second term of sequnce }\\\\a_3 = \text{third term of sequnece }\\\\a_n = \text{ nth term of sequnce }](https://tex.z-dn.net/?f=a_1%20%3D%20%5Ctext%7B%20first%20term%20of%20sequnece%20%7D%5C%5C%5C%5Ca_2%20%3D%20%5Ctext%7Bsecond%20term%20of%20sequnce%20%7D%5C%5C%5C%5Ca_3%20%3D%20%5Ctext%7Bthird%20term%20of%20sequnece%20%7D%5C%5C%5C%5Ca_n%20%3D%20%5Ctext%7B%20nth%20term%20of%20sequnce%20%7D)
Thus, in the sequence 0.25, 0.5, 0.75, 1, 1.25. 1.5
![a_3 = \text{ third term } = 0.75](https://tex.z-dn.net/?f=a_3%20%3D%20%5Ctext%7B%20third%20term%20%7D%20%3D%200.75)
Thus the third term of sequence is 0.75