Answer:
The 15th term is 10.25
Step-by-step explanation:
Sequences
The given sequence:
-0.25, 0.5, 1.25, 2, 2.75...
can be categorized as an arithmetic sequence. To better know, we try to find a common difference between successive terms:
0.5 - (-0.25) = 0.75
1.25 - 0.5 = 0.75
2 - 1.25 = 0.75
Once we are certain it's an arithmetic sequence, we find the general term by using the formula:
[tex]a_n=a_1+(n-1)r[/tex]
Where n is the number of the term, a1 is the first term, and r is the common difference. We have already found that:
r=0.75
a1=-0.25
The 15th term (n=15) is:
[tex]a_{15}=-0.25+(15-1)*0.75[/tex]
[tex]a_{15}=-0.25+14*0.75[/tex]
[tex]a_{15}=-0.25+10.5=10.25[/tex]
The 15th term is 10.25
