Step-by-step explanation:
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Given :
Each morning a gardener uses 25 gallons of water from a barrel.
Each afternoon, she adds 15 gallons of water to the barrel.
To Find :
By how much has the volume of water in the barrel changed after 5 days.
Solution :
Amount of of water used from the barrel per day is :
A = 25 - 15 gallons
A = 10 gallons
Now, volume of water in the barrel changed after 5 days is :
V = A × 5 gallons
V = 10 × 5 gallons
V = 50 gallons
Therefore, volume of water in barrel is changed by 50 gallons.
The sequence is an geometric progression;
Nth=a₁r^(n-1)
a₁ is the first term=-1
r=ratio=a₂/a₁=6/-1=-6
Nth=-1(-6^(n-1)
NTh=an
a₁=-1(-6⁰)=-1
a₂=-1(-6¹)=6
a₃=-1(-6²)=-36
a₄=-1(-6³)=216
therefore this serie is rising at an increasing fast speed, it is an geometric progression.
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