Find the first 5 terms of the geometric sequence

Question

a3 = 36 and a5 = 324

Find first 5 terms.

Answer 1

a, ar, ar^2, ar^3, ar^4, ar^5, ...

 

a, ar, 36,    ar^3, 324,   ar^5

 

ar^4 is the fifth term which is 324

ar^2 is the third term which is 36

 

ar^4/ar^2=324/36

r^2=9

r=3

324/3=108

108/3=36

36/3=12

12/3=4

 

4, 12, 36, 108, 324, ...