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Answer:
The formula that can be used to describe the given sequence is
Step-by-step explanation:
Given : sequence -4, −24, −144,...
We have to find the formula that can be used to describe the given sequence -4, −24, −144,...
A geometric sequence is a sequence in which each higher term is multiplied by a constant number called common ratio.
Written as a, ar , ar², ar³., ....
and general term is calculated as
Where a is first term and r is common ratio.
Consider the given sequence -4, −24, −144,...
We find the common ratio ,
Thus, common ratio is given as
Thus, the given sequence is a geometric sequence.
The general term is given by
Put a = -4 , r = 6
We have
Thus, the formula that can be used to describe the given sequence is