Respuesta :
Answer:
The next three terms of the sequence are 182.3, 273.5 and 410.3 respectively (all rounded to the nearest tenth value)
Step-by-step explanation:
A geometric sequence is one in which successive members are multiples of a constant common ratio.
From the sequence, we can identify that;
First term a = 36
common difference = 2nd term/first term = 3rd term/second term = 4th term/3rd term
Hence, common difference d = 54/36 = 81/54 = 1.5
The next three terms of the sequence are the 5th, 6th and 7th term respectively.
For the 5th term, we have 4th term × common ratio = 121.5 × 1.5 = 182.3
For the 6th term, we have 5th term × common ratio = 182.3 × 1.5 = 273.5
For the 7th term, we have 6th term × common ratio = 273.5 × 1.5 = 410.3
