If (a_n=82-4n), what will be the (23)rd term of the AP?
Answer and explanation
Correct answer: -10
The given direct formula is \(a_n=82-4n\). Substituting \(n=23\), we get \(a_{23}=82-4(23)=82-92=-10\). Therefore, the correct answer is \(-10\). A value such as \(-8\) can result from an incorrect multiplication or subtraction. Exam tip: In a direct formula, substitute the term number for \(n\), multiply first, and then subtract.
Frequently asked questions
What is the correct answer to this question?
-10
Why is this the correct answer?
The given direct formula is \(a_n=82-4n\). Substituting \(n=23\), we get \(a_{23}=82-4(23)=82-92=-10\). Therefore, the correct answer is \(-10\). A value such as \(-8\) can result from an incorrect multiplication or subtraction. Exam tip: In a direct formula, substitute the term number for \(n\), multiply first, and then subtract.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Finding the $n$th term of an AP.
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