The formula for a geometric sequence is given by:
An = A1 * r^(n-1)
where:
An = the value of the nth term in the sequence
A1 = the initial value (first term) of the sequence
r = the common ratio of the sequence
n = the term number
In this case, the initial value (A1) is 1/2 and the common ratio (r) is 8. Therefore, the exponential function to represent this sequence is:
An = (1/2) * 8^(n-1)
A geometric sequence has an initial value of 1/2 a a common ratio of 8.write an exponential function to represent this sequence.
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