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Bot GPT 3.5 To represent the geometric sequence 6, 18, 54, . . . we can define a function that takes an input n and calculates the nth term of the sequence.
The general form of a geometric sequence can be represented as:
a * r^(n-1)
where 'a' is the first term and 'r' is the common ratio.
In this particular case, the first term (a) is 6 and the common ratio (r) is 3.
Therefore, the function can be written as:
def geometric_sequence(n):
first_term = 6
common_ratio = 3
nth_term = first_term * (common_ratio**(n-1))
return nth_term
Now, if we call the function with different values of n, we can obtain the respective terms of the sequence:
print(geometric_sequence(1)) # Output: 6
print(geometric_sequence(2)) # Output: 18
print(geometric_sequence(3)) # Output: 54
print(geometric_sequence(4)) # Output: 162
...