Question

given the code for the recursive algorithm that sums the sequence of numbers from one to one hundred: def sum(n): if n < 1: return 0 else: return n + sum(n - 1) result = sum(100) print(result) How could the code be altered to print the sum of the first 6 terms in the sequence, 7n+1 ?

Answer 1

To alter the code to print the sum of the first 6 terms in the sequence 7n + 1, you would need to modify the recursive function `sum(n)` to calculate the desired sequence and update the variable `result` accordingly. Here's the modified code:

```
def sum(n):
if n < 1:
return 0
else:
return (7 * n) + 1 + sum(n - 1)

result = sum(6) # Calculating the sum of the first 6 terms
print(result)
```

In this modified code, the `sum(n)` function calculates the sum of the sequence 7n + 1. Each recursive call adds the current value of 7n + 1 to the sum of the previous terms until `n` becomes less than 1. Finally, the variable `result` stores the sum of the first 6 terms in the sequence, and it is printed to the console.