Question

Find the 7th term of the geometric sequence: 4, 14, 49, ...

Answer 1

Explanation:

`a_2=a_1*r=>14=4*r=>r=(7)/(2)\\a_n=a_1*r^(n-1)=>a_7=a_1*r^(7-1)=4*((7)/(2))^6=(117649)/(16)\\\\a_7=(117649)/(16)`