Question

The first term of a geometric sequence is 6. The common ratio is 2. Find the7th term of the sequence using the explicit formula.

Answer 1

The geometric sequence is given by:

`a_n=a\cdot r^(n-1)`

where:

a = first term of the sequence

r = common ratio

so:

`\begin{gathered} n=7 \\ a_7=6\cdot2^(7-1) \\ a_7=6\cdot2^6 \\ a_7=6\cdot64 \\ a_7=384 \end{gathered}`