Question

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

Answer 1

Answer:

Step-by-step explanation:

$a_2=a_1*r=>14=4*r=>r=\frac{7}{2}\\a_n=a_1*r^{n-1}=>a_7=a_1*r^{7-1}=4*(\frac{7}{2})^6=\frac{117649}{16}\\\\a_7=\frac{117649}{16}$