Which sequence is geometric and has 1/4 as its fifth term and 1/2 as the common ratio?
2 answers:
5th term = a1r^4 where a1 = first term and r = common ratio
so 1/4 = a1 * (1/2)^4
a1 = 1/4 / (1/2)^4 = 4
so the sequence is 4 , 4*1/2, 4*(1/2)^2...
= 4, 2, 1, 1/2, 1/4 .....
Answer:
4, 2, 1,
.......
Step-by-step explanation:
Since explicit formula of a geometric sequence is represented by An = 
It is given in the question that fifth term of the sequence is
and common ratio of the sequence is
.
Now from the explicit formula



= 4
Therefore, sequence will be 4, 4 ×
, 4 ×
, 4 ×
³.........
= 4, 2, 1,
.......
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