Answer:
An explicit rule for the nth term of the sequence will be:
Thus, option (A) is true.
Step-by-step explanation:
Given the sequence
A geometric sequence has a constant ratio r and is defined by
Computing the ratios of all the adjacent terms
As the ratio 'r' is the same.
so
as
Hence, the nth term of the sequence will be:
substituting the values and
Therefore, an explicit rule for the nth term of the sequence will be:
Thus, option (A) is true.