Since the common ratio is 0.5, hence the recursive equation will be an = 0.5an-1 and Tn = 4(0.5)^n-1 (Explicit equation)
Sequence and series
Sequences are number arranged in a specified pattern. Given the geometric sequence
4, 2, 1,05,0.25...
Common ratio. = 2/4 = 0/.5
First term a = 4
The nth term of the sequence in explicit form is Tn = ar^n-1
Tn = 4(0.5)^n-1 (Explicit equation)
For the recursive function
Explicit equation = an =ran-1
Since the common ratio is 0.5, hence the recursive equation will be an = 0.5an-1
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