Answer: the total number of views that the video got over the course of the first 27 days is 718833
Explanation:
The number of views that the video got each day increased by 18% per day. It means that the number of views is increasing in geometric progression. The formula for determining the sum of n terms(days), Sn of a geometric sequence is expressed as
Sn = (ar^n - 1)/(r - 1)
Where
n represents the number of terms(days) in the sequence.
a represents the first term in the sequence.
r represents the common ratio.
From the information given,
a = 1500
r = 1 + 18/100 = 1.18
n = 27 days
Therefore, the sum of the first 27 terms, S27 is
S27 = (1500 × 1.18^(27) - 1)/1.18 - 1
S27 = (1500 × 86.26)/0.18
S27 = 718833