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The (8)th term of an AP is (35) and (d=4). What is (a_1)?
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Answer and explanation
Correct answer: 7
For an AP, \(a_n=a_1+(n-1)d\). Thus, \(35=a_1+(8-1)\times4=a_1+28\), so \(a_1=7\). If 9 were chosen, the eighth term would be \(9+28=37\), not 35. Exam tip: always use \((n-1)d\) in the formula for the \(n\)th term.
Frequently asked questions
What is the correct answer to this question?
7
Why is this the correct answer?
For an AP, \(a_n=a_1+(n-1)d\). Thus, \(35=a_1+(8-1)\times4=a_1+28\), so \(a_1=7\). If 9 were chosen, the eighth term would be \(9+28=37\), not 35. Exam tip: always use \((n-1)d\) in the formula for the \(n\)th term.
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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