Question

Una ONG tiene la finalidad de mejorar las condiciones de salud de personas en estado de pobreza.Si todos los meses se incorporan 5 personas y al final del primer mes hay 125 voluntarios, ¿cuántas personas trabajaran como voluntarios en la ONG al cabo de 2 años y medio?

Answer 1

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

$a_{n}=a_{1}+(n-1)d$

Where $d=5$, $a_{1}=125$ and $n=18$.

$a_{18}=125+(18-1)5=125+(17)5=125+85=210$

Therefore, after two and a half years, there would be 210 volunteers.