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2. Mathematics⇨
3. Arithmetic⇨
4. Sum of squares of first n natural numbers

12 + 22 + 32 + ... + n2

{
  "topic": "sum-of-squares-of-n-natural-numbers",
  "input_types": [
    "int"
  ],
  "input_labels": [
    "n"
  ],
  "input_values": [
    "8"
  ],
  "type": "Calculate",
  "title": "Sum of squares of first n natural numbers",
  "category": "Arithmetic",
  "formula_mathjax": "\\(\\dfrac{ n(n+1)(2n +1)}{6} \\)",
  "formula_mathjax_sub": "\\(\\dfrac{ n ( n +1)(2* n +1)}{6} \\)",
  "formula": " n * ( n + 1) * (2* n + 1) / 6",
  "formula_captions": "<span>n</span> is an integer value.",
  "op_label": "Sum",
  "explanation": "The sum of the squares of first n natural numbers is<pre>1<sup>2</sup> + 2<sup>2</sup> + 3<sup>2</sup> + ... + n<sup>2</sup></pre>"
}