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Answer

First-term = 35

Next term = 105

common ratio = 3

After 7 months she has 25, 515 followers

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


\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}

After 7 months, she will be having 25, 515 followers

User Anand Bhat
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