Question

The function squaresum(n) calculates the sum of squares of integers from 1 to n. the flowchart starts with initializing sm to zero. then, it enters a loop from i = 1 to i = n, adding i*i to sm in each iteration, and finally returns sm after completing the loop.
make this more human ( its computer science)

Answer 1

Here’s a plain‑English, human‑friendly description of what squaresum(n) does and how it works:

What it does
- squaresum(n) adds up the squares of all whole numbers from 1 up to n and gives you the total. In other words it returns 1² + 2² + 3² + … + n².

Step‑by‑step (in everyday language)
1. Start with a running total set to zero.
2. For each number i from 1 to n:
- Compute i × i (the square of i).
- Add that square to the running total.
3. When you’ve processed every number up to n, give back the running total.

Short example
- If n = 3: calculate 1² (1), then 2² (4), then 3² (9). Add them: 1 + 4 + 9 = 14. So squaresum(3) = 14.

A couple of useful notes
- There’s a closed‑form formula for this sum: 1² + 2² + … + n² = n(n + 1)(2n + 1) / 6, so you can compute it in one step without looping.
- The straightforward loop version does n additions (linear time). Using the formula is constant time.