Question

3. Find the 7th term of the geometric sequence where t1 = 6 and r = 4.

Answer 1

Well, the formula to find a term within a geometric sequence is:
\[t_{n} = t_{1}(r)^{n-1}\]

So, simply plug in your numbers:

\[t_{n} = 6(4)^{7-1}\]
\[t_{n} = 6(4)^{6}\]
\[t_{n} = 6(4096)\]
\[t_{n} = 24576\]

Therefore, the 7th term is 24576