Answer
true
Work Step by Step
RECALL:
(1) The $n^{th}$ term $a_n$ of a geometric sequence is given by the formula:
$a_n=a\cdot r^{n-1}$
where
$a$ = first term
$r$ = common ratio
(2) The common ratio of a geometric sequence can be found by dividing a term by the term before it.
Thus, to find the value of any term, the values of $a$ and $r$ must be known.
If the first two terms of a geometric sequence are known, then it means that:
(i) $a$ is known;
(ii) The common ratio $r$ can be found by dividing the second term by the first term.
Thus, knowing the values of the first two terms of a geometric sequence will allow you to find the value of any other term of the sequence.
Therefore, the given statement is true.
