If (a_n=4n^2-3n+2), what is the value of (a_7-a_4)?
Answer and explanation
Correct answer: 123
Given \(a_n=4n^2-3n+2\), \(a_7=4(7)^2-3(7)+2=177\) and \(a_4=4(4)^2-3(4)+2=54\). Therefore, \(a_7-a_4=177-54=123\). The value 121 may result from an error while multiplying or substituting a term. In exams, evaluate each required term separately before finding their difference.
Frequently asked questions
What is the correct answer to this question?
123
Why is this the correct answer?
Given \(a_n=4n^2-3n+2\), \(a_7=4(7)^2-3(7)+2=177\) and \(a_4=4(4)^2-3(4)+2=54\). Therefore, \(a_7-a_4=177-54=123\). The value 121 may result from an error while multiplying or substituting a term. In exams, evaluate each required term separately before finding their difference.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: nth term.
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