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একটি গুণোত্তর অনুক্রমে তৃতীয় পদটি 20 এবং ষষ্ঠ (6-তম) পদটি 160 হলে প্রথম পদটি-----
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প্রথম পদ a ও সাধারণ অনুপাত q হলে <math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>a</mi><msup><mi>q</mi><mn>2</mn></msup><mo> = </mo><mn>20</mn><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo> </mo><mo>(</mo><mn>1</mn><mo>)</mo><mo> </mo><mo> </mo><mo>[</mo><mo>.</mo><mo>°</mo><mo>.</mo><mo> </mo><msub><mi>a</mi><mi>n</mi></msub><mo> = </mo><mi>a</mi><mo>.</mo><msup><mi>q</mi><mrow><mi>n</mi><mo> - </mo><mn>1</mn></mrow></msup><mo>]</mo><mspace linebreak = "newline"/><mi>a</mi><msup><mi>q</mi><mn>5</mn></msup><mo> = </mo><mn>160</mn><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>(</mo><mn>2</mn><mo>)</mo><mo> </mo><mspace linebreak = "newline"/><mo>(</mo><mn>2</mn><mo>)</mo><mo> </mo><mo>÷</mo><mo>(</mo><mn>1</mn><mo>)</mo><mo> </mo><mspace linebreak = "newline"/><mfrac><mrow><mi>a</mi><msup><mi>q</mi><mn>5</mn></msup></mrow><mrow><mi>a</mi><msup><mi>q</mi><mn>2</mn></msup></mrow></mfrac><mo> = </mo><mfrac><mn>160</mn><mn>20</mn></mfrac><mspace linebreak = "newline"/><mo> = </mo><mo>></mo><msup><mi>q</mi><mn>3</mn></msup><mo> = </mo><mn>8</mn><mspace linebreak = "newline"/><mo> = </mo><mo>></mo><msup><mi>q</mi><mn>3</mn></msup><mo> = </mo><msup><mn>2</mn><mn>3</mn></msup><mspace linebreak = "newline"/><mo>(</mo><mn>1</mn><mo>)</mo><mo> </mo><mo>,</mo><mo> </mo><mi>a</mi><mo>(</mo><mn>2</mn><msup><mo>)</mo><mn>2</mn></msup><mo> = </mo><mn>20</mn><mspace linebreak = "newline"/><mo> = </mo><mo>></mo><mi>a</mi><mo> = </mo><mfrac><mn>20</mn><mn>4</mn></mfrac><mspace linebreak = "newline"/><mo>.</mo><mo>·</mo><mo>.</mo><mo> </mo><mi>a</mi><mo> = </mo><mn>5</mn></math>
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