Respuesta :
Question:
Identify a3 of this sequence: 0.25, 0.5, 0.75, 1, 1.25, 1.5,...a3=
Answer:
The third term of sequence is 0.75
[tex]a_3 = 0.75[/tex]
Solution:
Given that, sequence is:
0.25, 0.5, 0.75, 1, 1.25. 1.5
Let us find the difference between terms
[tex]0.5 - 0.25 = 0.25\\\\0.75-0.5 = 0.25\\\\1.25-1=0.25\\\\1.5-1.25=0.25[/tex]
This is a arithmetic sequence
Because the difference between any term and its immediately preceding term is always 0.25
In a arithmetic sequence,
[tex]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 }[/tex]
Thus, in the sequence 0.25, 0.5, 0.75, 1, 1.25. 1.5
[tex]a_3 = \text{ third term } = 0.75[/tex]
Thus the third term of sequence is 0.75
Answer:
Answer is [C] 0.75 to 1.0
Step-by-step explanation:
Hope this helps :)