Question

Find the 7th term in the geometric sequence 3, 6, 12, ... Show your solution.​

Answer 1

192

Explanation:

given the geometric sequence : 3, 6, 12, ...

T1 = 3

r = 6/3 = 2

T7 =?

T7 = T1. r^(7-1)

= 3 . 2^(7-1)

= 3. 2^6

= 3. 64

= 192

Answer 2

a + (n-1) b

= 3 + (7-1) 3

= 3 + 6(3)

= 3 + 18

= 21