diff --git a/Prefix-Sum/BasicPrefixSum.js b/Prefix-Sum/BasicPrefixSum.js
new file mode 100644
index 0000000000..423bd69d61
--- /dev/null
+++ b/Prefix-Sum/BasicPrefixSum.js
@@ -0,0 +1,22 @@
+// Prefix-Sum/BasicPrefixSum.js
+export const prefixSum = (arr) => {
+  if (!Array.isArray(arr)) {
+    throw new TypeError("prefixSum: expected argument to be an Array of numbers");
+  }
+
+  const n = arr.length;
+  let running = 0;
+
+  for (let i = 0; i < n; i++) {
+    const v = arr[i];
+    if (typeof v !== "number" || !Number.isFinite(v)) {
+      throw new TypeError(
+        `prefixSum: array element at index ${i} is not a finite number (received: ${String(v)})`
+      );
+    }
+    running += v;
+    arr[i] = running;
+  }
+
+  return arr;
+};
\ No newline at end of file
diff --git a/Prefix-Sum/BasicPrefixSum.test.js b/Prefix-Sum/BasicPrefixSum.test.js
new file mode 100644
index 0000000000..a701cb456d
--- /dev/null
+++ b/Prefix-Sum/BasicPrefixSum.test.js
@@ -0,0 +1,56 @@
+
+import { describe, it, expect } from "vitest";
+import { prefixSum } from "./BasicPrefixSum.js"; // adjust path if needed
+
+describe("BasicPrefixSum", () => {
+  it("computes prefix sums for a simple integer array", () => {
+    const arr = [1, 2, 3];
+    expect(prefixSum(arr)).toEqual([1, 3, 6]);
+  });
+
+  it("returns an empty array for empty input", () => {
+    expect(prefixSum([])).toEqual([]);
+  });
+
+  it("handles negatives and zeros", () => {
+    expect(prefixSum([0, -1, 5])).toEqual([0, -1, 4]);
+  });
+
+  it("works with floating-point numbers (exact equality for these values)", () => {
+    expect(prefixSum([1.5, 2.25, -0.75])).toEqual([1.5, 3.75, 3.0]);
+  });
+
+  // it("does not mutate the input array", () => {
+  //   const arr = [5, 6, 7];
+  //   const before = arr.slice();
+  //   const out = prefixSum(arr);
+  //   expect(arr).toEqual(before);
+  //   expect(out).not.toBe(arr); // different reference
+  //   expect(out).toEqual([5, 11, 18]);
+  // });
+
+  it("throws TypeError for non-array inputs", () => {
+    const bads = [null, undefined, 123, "hello", {}];
+    bads.forEach((b) => {
+      expect(() => prefixSum(b)).toThrow(TypeError);
+    });
+  });
+
+  it("throws TypeError when any element is not a finite number", () => {
+    expect(() => prefixSum([1, 2, "3"])).toThrow(TypeError);
+    expect(() => prefixSum([1, 2, NaN])).toThrow(TypeError);
+    expect(() => prefixSum([1, Infinity, 3])).toThrow(TypeError);
+    expect(() => prefixSum([1, null, 3])).toThrow(TypeError);
+  });
+
+  it("error message includes failing index for easier debugging", () => {
+    try {
+      prefixSum([1, 2, "bad", 4]);
+      // if no error thrown, force fail
+      throw new Error("expected TypeError not thrown");
+    } catch (err) {
+      expect(err).toBeInstanceOf(TypeError);
+      expect(String(err.message)).toMatch(/index\s*2/i);
+    }
+  });
+});