Develop a Python module that will prompt the user for a target sum that is greater than 0 and less than 1 for the following Geometric series: Geometric Series Equation The program should first make sure the target sum is within the range specified above. If not, continue to prompt the user for a target sum until it is in the specified range. The program should then compute the Geometric Series until it is greater than or equal to the target sum. The program should output the final sum as well as the number of terms required in the sequence to reach that final sum.

see explaination

Explanation:

target_sum=float(input("Enter a target sum > 0 and <1 : ")) #asking user to enter the sum

while (target_sum<0 or target_sum>1): #if target sum not in range print the message

print("The target sum is not between 0 and 1")

target_sum=float(input("Please Enter a target sum > 0 and <1 : "))

computed_sum=0.00 #declare computed_sum

term_count=0 #declare term count and initalize to 0

r=1 #variable used to create the difference value

while computed_sum<target_sum: #iterate loop till computed sum is less than target sum

computed_sum=computed_sum+(1/(2**r)) #add previous computed sum with current term (1/2,1/4,1/8 etc)

term_count+=1 #increment term count

r+=1 #increment r value

print("Final Sum = " ,computed_sum) #finally print term count and final sum

print("Number of Terms= " ,term_count)

for this, you need the pythagorean theorem, which is a^{2}+ b^{2}= c^{2}

your a should be 12, and your b should be 35. so now you can solve for c, which equals 37 miles.

so the answer is 37 miles