The program to construct the first 15 terms of a geometric sequence with initial term 4 and a common ratio 1/2 is as follows:
def geometric(a, r):
list_of_terms = [a]
length = 0
n = 2
while length < 14:
x = round(a*pow(r, n-1), 5)
length += 1
n += 1
list_of_terms.append(x)
return list_of_terms
print(geometric(4, 0.5))
Code explanation
The code is written in python.
- we defined a function named geometric. The function accept two parameters as a(first term) and r(common ratio).
- we declared a variable "list_of_terms" and store the first term in it.
- Then we initialise length to zero
- The number of term start from 2.
- While the length variable is less than 14, we use the geometric formula to find the terms by increasing the value of n in the loop.
- We append the terms to list_of_terms.
- Then return the list_of_terms.
- Finally, we call the function with the parameters.
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