If (a_n=2n^2+7n-4), what is the value of (a_6)?
Answer and explanation
Correct answer: 110
Given \(a_n=2n^2+7n-4\), substitute \(n=6\): \(a_6=2(6)^2+7(6)-4=2\times36+42-4=72+42-4=110\). Therefore, the correct answer is 110. The value 108 may result from an error while calculating \(7\times6\). Exam tip: substitute the term number carefully and evaluate the power term first.
Frequently asked questions
What is the correct answer to this question?
110
Why is this the correct answer?
Given \(a_n=2n^2+7n-4\), substitute \(n=6\): \(a_6=2(6)^2+7(6)-4=2\times36+42-4=72+42-4=110\). Therefore, the correct answer is 110. The value 108 may result from an error while calculating \(7\times6\). Exam tip: substitute the term number carefully and evaluate the power term first.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Explicit or general rule.
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