log 11 + log 121 + log 1331 + ............... ধারাটির প্রথম দশটি পদের সমষ্টি কত?
সঠিক উত্তর: 55 log 11
<math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>log</mi><mo> </mo><mn>11</mn><mo> </mo><mo> + </mo><mo> </mo><mi>log</mi><mo> </mo><mn>121</mn><mo> </mo><mo> + </mo><mo> </mo><mi>log</mi><mo> </mo><mn>1331</mn><mo> </mo><mo> + </mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mspace linebreak = "newline"/><mo> = </mo><mi>log</mi><mo> </mo><mn>11</mn><mo> </mo><mo> + </mo><mo> </mo><mi>log</mi><mo> </mo><msup><mn>11</mn><mn>2</mn></msup><mo> + </mo><mo> </mo><mi>log</mi><mo> </mo><msup><mn>11</mn><mn>3</mn></msup><mo> + </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> + </mo><mo> </mo><mi>log</mi><mo> </mo><msup><mn>11</mn><mn>10</mn></msup><mspace linebreak = "newline"/><mo> = </mo><mo> </mo><mi>log</mi><mo> </mo><mn>11</mn><mo> </mo><mo> + </mo><mo> </mo><mn>2</mn><mo> </mo><mi>log</mi><mo> </mo><mn>11</mn><mo> </mo><mo> + </mo><mo> </mo><mn>3</mn><mo> </mo><mi>log</mi><mo> </mo><mn>11</mn><mo> </mo><mo> + </mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> + </mo><mo> </mo><mn>10</mn><mo> </mo><mi>log</mi><mo> </mo><mn>11</mn><mspace linebreak = "newline"/><mo> = </mo><mo>(</mo><mn>1</mn><mo> </mo><mo> + </mo><mo> </mo><mn>2</mn><mo> </mo><mo> + </mo><mo> </mo><mn>3</mn><mo> </mo><mo> + </mo><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo> + </mo><mo> </mo><mn>10</mn><mo>)</mo><mo> </mo><mi>log</mi><mo> </mo><mn>11</mn><mspace linebreak = "newline"/><mo> = </mo><mo> </mo><mfrac><mrow><mn>10</mn><mfenced><mrow><mn>10</mn><mo> + </mo><mn>1</mn></mrow></mfenced></mrow><mn>2</mn></mfrac><mi>log</mi><mo> </mo><mn>11</mn><mspace linebreak = "newline"/><mo> = </mo><mn>55</mn><mo> </mo><mi>log</mi><mo> </mo><mn>11</mn><mo> </mo></math>