Question

1. What is the 9th term of the geometric sequence 3, 12, 48, ...?

Answer 1

ar^n
r= 4
a=3
3(4)^(4)=768

Answer 2

ar^n
r= 4
a=3
3(4)^(9)=786432

Answer 3

T9 = 3(4)^(9-1) = 196608

Answer 4

which is it :)?

Answer 5

\[\LARGE a_n=a_1\cdot r^{n-1}\]
\[\LARGE q=\frac{a_n}{a_{n-1}}=\frac{a_2}{a_1}=\frac{12}{3}=4\]
so q=4
\[\LARGE a_9=3\cdot 4^{9-1}\]
\[\LARGE a_9=3\cdot 4^8 \]
\[\LARGE a_9=3\cdot 256\cdot 256 \]
\[\LARGE a_9=3\cdot 65 536 \]
\[\LARGE a_9=196608 \]

Answer 6

sorry q=r