Question

Find the 12th term of a GP. whose 8th term is 192 and the common ratio is 2.

Answer 1

See the attachment below................

Answer 2

Answer:

12th term of  GP = 3072

Step-by-step explanation:

Let say first Term = a

Common ratio = r  = 2

Then 8th Term = a r⁷  

= a * 2⁷

8th Term =   192

=> a * 2⁷ = 192

=> a = 192/2⁷

12th term of  GP  = a r¹¹

= (192/2⁷) * 2¹¹

= 192 * 2⁴

= 192 * 16

= 3072

12th term of  GP = 3072