Answer
First-term = 35
Next term = 105
common ratio = 3
After 7 months she has 25, 515 followers
Step-by-step explanation:
According to the question, she got 35 followers a month after launching the business
After taking a course, her members were tripled for each month
This implies that after taking the course the number of her followers will be
35 x 3 = 105
Therefore, the first term is 35
The next term is 105
The common ratio = last term / previous term
Common ratio = 105/35
Common ratio = 3
After 7 months
We will be applying the geometric formula
[tex]\begin{gathered} T(n)=ar^{n\text{ - 1}} \\ \text{where a = first term, r =common ratio and n = number of terms} \\ \text{let n = 7, a = 35 and r = 3} \\ T(7)\text{ = 35 }\cdot3^{7\text{ - 1}} \\ T(7)\text{ = 35 }\cdot3^6 \\ T(7)\text{ = 35 }\cdot\text{ 729} \\ t(7)\text{ = }25,\text{ 515} \end{gathered}[/tex]After 7 months, she will be having 25, 515 followers
