Answer: 16
Step-by-step explanation:
The formular for calculating the nth term of a geometric progression is arⁿ⁻¹
WHERE a= first term, r = common ratio and n= number of term
a = 54
since we are looking for the fourth term n = 4
To get our common ratio; we simply divide a number by its preceding number
r = 36/54 = 2/3
our fourth term is;
Tn = arⁿ⁻¹
T₄ = 54 (2/3)⁴⁻¹
= 54 (2/3)³
=54(8/27)
= 432/27
=16
Therefore the next term is 16
