Ashton just launched a new business page on social media. After one month, she has 3535 followers. She decides to take a course that promises to triple her number of followers each month for 66 months. After 77 months, how many followers will Ashton have if this is true?
The number of followers for the next 67 months since starting is:
3535, 3535*3, (3535*3)*3, ((3535*3)*3)*3.............................
Hence a Geometric Progression Series is formed with first term=a=3535 and common ratio=3 We have to find T67 of the obtained series.
The nth term of Geometric Series is given by:
Tn=arn-1
=> T67=3535(3)67-1
=> T67=3535(3)66
=> T67= 1.0924265e+35
Hence after 67 months the number of followers will remain constant and hence after 77 months, the number of followers will be 1.0924265e+35
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