Question

What is the 6th term of the geometric sequence where a1 = 1,024 and a4 = -16? (3 points)

1

-0.25

-1

0.25

Answer 1

@Hero @ganeshie8 @phi Please Help

Answer 2

@mathstudent55

Answer 3

\(a_1 = a_1\)
\(a_2 = a_1 \cdot r\)
\(a_3 = a_2 \cdot r = a_1 \cdot r^2\)
\(a_4 = a_3 \cdot r = a_1 \cdot r^3\)
\(...\)
\(a_n = a_1r^{n - 1} \)

Use the last formula with the given information to find r.
Then use the last formula again with the r you found to find \(a_6\).