Question

Nth term of the sequence 8,48,288

Answer 1

`\bold{a_n=8\cdot\big6^(n-1)}`

Explanation:

`a_1=8\\a_2=48\\a_3=288\\\\288:48=6\\48:8=6\\\\ (a_2)/(a_1)=(a_3)/(a_2)= 6`

Therefore it's geometric sequence with common ratio of 6

`a_n=a_1\cdot r^(n-1)\\\\a_1=8\\r=6\\\\a_n=8\cdot6^(n-1)`