question archive Determine the nth term of the geometric sequence
Determine the nth term of the geometric sequence
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Determine the nth term of the geometric sequence.
?1, 4, 16, 64....
The nth term is ?
?(Simplify your? answer.)
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?an?=4n−1?
Step-by-step explanation
First, we determine the reason: we divide two consecutive terms, the greatest by the least. 4/1 = 4
second, we apply the formula
?an?=a1?rn−1?
Third, put the given values
?a1?=1,r=4?
?an?=1∗4n−1an?=4n−1?
