If (a_n=7-2n), which term will be (-35)?
Answer and explanation
Correct answer: 21st term
Given \(a_n=7-2n\), set the nth term equal to \(-35\): \(-35=7-2n\). Thus, \(-42=-2n\), so \(n=21\). Hence, \(-35\) is the 21st term of the AP. The 20th term is \(7-2(20)=-33\), so option C is not correct. Exam tip: To find the term number for a given value, equate that value to \(a_n\) and solve for \(n\).
Frequently asked questions
What is the correct answer to this question?
21st term
Why is this the correct answer?
Given \(a_n=7-2n\), set the nth term equal to \(-35\): \(-35=7-2n\). Thus, \(-42=-2n\), so \(n=21\). Hence, \(-35\) is the 21st term of the AP. The 20th term is \(7-2(20)=-33\), so option C is not correct. Exam tip: To find the term number for a given value, equate that 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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