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Question
What is the difference between the sixth and the fifth terms of the sequence 2,4,7---- whose nth term is n+2n-1?
3
6
16
17
ANSWER : 4
Descrption
<pre>n তম পদ <math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>n</mi><mo> + </mo><msup><mn>2</mn><mrow><mi>n</mi><mo> - </mo><mn>1</mn></mrow></msup></math> সুতরাং 5 তম পদ <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>5</mn><mo> + </mo><msup><mn>2</mn><mrow><mn>5</mn><mo> - </mo><mn>1</mn></mrow></msup><mo> = </mo><mn>5</mn><mo> + </mo><msup><mn>2</mn><mn>4</mn></msup></math> = 5 + 16 = 21 এবং ৬ষ্ঠ পদ <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>6</mn><mo> + </mo><msup><mn>2</mn><mrow><mn>6</mn><mo> - </mo><mn>1</mn></mrow></msup><mo> = </mo><mn>6</mn><mo> + </mo><msup><mn>2</mn><mn>5</mn></msup></math> = 6 + 32 = 38 এদের পার্থক্য 38 - 21 = 17 </pre>
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