If (a_n=10-3n), which term will be (-44)?
Answer and explanation
Correct answer: 18th term
Given \(a_n=10-3n\), set the required term equal to \(-44\): \(-44=10-3n\). Thus, \(-54=-3n\), so \(n=18\). Therefore, \(-44\) is the 18th term of the AP. The 17th term is \(a_{17}=10-51=-41\), so it is not correct. Exam tip: To find a term number, equate the given value to \(a_n\) and solve for \(n\).
Frequently asked questions
What is the correct answer to this question?
18th term
Why is this the correct answer?
Given \(a_n=10-3n\), set the required term equal to \(-44\): \(-44=10-3n\). Thus, \(-54=-3n\), so \(n=18\). Therefore, \(-44\) is the 18th term of the AP. The 17th term is \(a_{17}=10-51=-41\), so it is not correct. Exam tip: To find a term number, equate the given value to \(a_n\) and solve for \(n\).
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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