Answer:
15
Step-by-step explanation:
We can find the greatest common factor by listing the factors of the 2 numbers, that is
Factors of 15 are 1, 3, 5, 15
Factors of 45 are 1, 3, 5, 9, 15, 45
The common factors are 1, 3, 5, 15
The greatest common factor is 15
This information will be modeled using the formula
thus we shall have:
Sn=ar^n
where:
a=first term
r=common ratio
from the information:
a=30 ft
r=60/100=3/5=0.6
therefore the formula will be
Sn=30(0.6)^n
where n is the number of terms:
thus when n=5 th sum will be:
S5=30(0.6)^5
S5=30(0.6)^5
S5=2.33 ft
Answer: 2.33 ft
