Write three arithmetic and three geometric means between 4 and 324

2 answers

So in each case you would have 5 terms

AS:
a = 4, t(5) = a+4d = 324
4 + 4d = 324
4d = 320,
d = 80

the three missing terms are 84 , 164, 244

GS:
a = 4, t(5) = ar^4 = 324
r^4 = 81
r = ± 3
if r = 3, the three missing terms would be
12, 36, 108
if r = -3 , the three missing terms would be
-12 , +36, -108
find the 6th term 4 and 324