If (a_n=4n^2-5n+2), what is the value of (a_6)?
Answer and explanation
Correct answer: 116
The rule is \(a_n=4n^2-5n+2\). Substituting \(n=6\), \(a_6=4(6)^2-5(6)+2=4\times36-30+2=116\). Therefore, 116 is the correct answer. A value such as 112 can result from an error while evaluating the squared term. Exam tip: calculate \(n^2\) first, then perform multiplication and the remaining operations.
Frequently asked questions
What is the correct answer to this question?
116
Why is this the correct answer?
The rule is \(a_n=4n^2-5n+2\). Substituting \(n=6\), \(a_6=4(6)^2-5(6)+2=4\times36-30+2=116\). Therefore, 116 is the correct answer. A value such as 112 can result from an error while evaluating the squared term. Exam tip: calculate \(n^2\) first, then perform multiplication and the remaining operations.
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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