A water tank already contains 56 gallons of water in Baxter begins to fill it. water flows into the tank at a rate of 8 gallons
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We are given
sequence is 2 , 4 , 8 ,16 , 32 , .....
Firstly , we will check whether it is geometric sequence
Checking geometric sequence:
We will find common ratio between successive terms
and then we check whether they are equal
r1=(second term)/(first term)
r2=(third term)/(second term)
r3=(fourth term)/(third term)
r4=(fifth term)/(fourth term)
we can see that all four ratios are same
so, this is geometric sequence
Calculation of general term:
We got
common ratio is
Let's assume
number of terms is n
first term is 2
now, we can use formula
we can plug values
and we get
..................Answer
1. Turn improper
2. set up the problem
now multiple across and simplefy
2. set up the problem
now multiple across and simplefy