From the given graph, we see that
1st term = 32
2nd term = 24
3rd term = 18
So, the geometric sequence is 32, 24, 18...
The general form of the geometric sequence is given by
[tex]a_n=a_1(r)^{n-1}[/tex]
Where aₙ is the nth term, a₁ is the first term and r is the common ratio.
The common ratio is basically the ratio of any two consecutive terms.
r = 18/24 = 0.75
r = 24/32 = 0.75
So, the common ratio is 0.75
The first term is 32
So, the general equation of the sequence becomes
[tex]a_n=32(0.75)^{n-1}[/tex]
