What is the sum of the following series? 1+2+3.........+100=?
What is the sum of the following series? 1+2+3.........+100=? Correct Answer 5050
Sum = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>n</mi><mfenced><mrow><mi>n</mi><mo> + </mo><mn>1</mn></mrow></mfenced></mrow><mn>2</mn></mfrac></math>; here, n = 100<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo> = </mo><mfrac><mrow><mn>100</mn><mfenced><mrow><mn>100</mn><mo> + </mo><mn>1</mn></mrow></mfenced></mrow><mn>2</mn></mfrac><mspace linebreak = "newline"/><mo> = </mo><mn>50</mn><mo>×</mo><mn>101</mn></math> = 5050