Question

find the seventh term of the geometric sequence with a3=125 and r=5

Answer 1

find the first term by dividing by 5

Answer 2

The third term is given by the equation
\[a _{3}=a r ^{2}\]
\[125=a \times 5^{2}\]
The first term a is found from
\[a=\frac{125}{5^{2}}=5\]
\[a _{7}=a r ^{6}=5 \times 5^{6}=5^{7}=you\ can\ calculate\]