Answer: 100 shoppers were at the mall on the first day.
Step-by-step explanation:
the number of shoppers is 5%, percent more than the number of shoppers the day before. It means that the number of shoppers is increasing in geometric sequence. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as
Sn = (ar^n - 1)/(r - 1)
Where
n represents the number of term in the sequence.
a represents the first term in the sequence.
r represents the common ratio.
From the information given,
r = 1 + 5/100 = 1.05
n = 10
S10 = 1258
The expression for the sum of the first 10 term, S10 is
1258 = (a × 1.05^(10) - 1)/1.05 - 1
1258 = (a × 1.05^(10) - 1)/0.05
1258 = 0.628895a/0.05
1258 = 12.5779a
a = 1258/12.5779
a = 100
