Answer
$H$
Work Step by Step
Use the explicit formula to find a specific term in a geometric sequence:
$a_n = a_1 \bullet r^{n - 1}$
The common ratio $r$ is $6$. We are given that the first term of the series, $a_1$, is $1$. Substitute these values into the explicit formula to find the $6th$ term:
$a_6 = 1 \bullet (6)^{6 - 1}$
Simplify the exponent:
$a_6 = 1 \bullet (6)^{5}$
Evaluate the exponential term first:
$a_6 = 1 \bullet 7,776$
Multiply to simplify:
$a_6 = 7,776$
Answer option $H$ is correct.
