Answer :
Answer:
After two and a half years, there would be 210 volunteers.
Step-by-step explanation:
Givens
- Each month there are added 5 people.
- The first month there are 125 volunteers.
These problem models a arithmetic sequence, where the difference is 5 and the first term is 125.
Notice that 2 and a half year are equivalent to 18 months. That means we need to find the 18th term,
A arithmetic sequence is defined as
[tex]a_{n}=a_{1}+(n-1)d[/tex]
Where [tex]d=5[/tex], [tex]a_{1}=125[/tex] and [tex]n=18[/tex].
[tex]a_{18}=125+(18-1)5=125+(17)5=125+85=210[/tex]
Therefore, after two and a half years, there would be 210 volunteers.