If (a_n=6n^2-4n+3), which statement is correct?
Answer and explanation
Correct answer: \(a_2=19\) और \(a_3=45\)
Substituting \(n=2\) into the rule gives \(a_2=6(2)^2-4(2)+3=24-8+3=19\). Similarly, for \(n=3\), \(a_3=6(3)^2-4(3)+3=54-12+3=45\). Hence, option A is correct. Option B has an incorrect value of \(a_2\), while option C has an incorrect value of \(a_3\). Exam tip: substitute each value of \(n\) separately and simplify carefully.
Frequently asked questions
What is the correct answer to this question?
\(a_2=19\) और \(a_3=45\)
Why is this the correct answer?
Substituting \(n=2\) into the rule gives \(a_2=6(2)^2-4(2)+3=24-8+3=19\). Similarly, for \(n=3\), \(a_3=6(3)^2-4(3)+3=54-12+3=45\). Hence, option A is correct. Option B has an incorrect value of \(a_2\), while option C has an incorrect value of \(a_3\). Exam tip: substitute each value of \(n\) separately and simplify carefully.
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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