In an arithmetic progression with first term \(a\) and common difference \(d\), which expression represents its 15th term?
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Answer and explanation
Correct answer: \(a+14d\)
The nth term of an AP is \(a_n=a+(n-1)d\). Substituting \(n=15\) gives \(a_{15}=a+14d\). The expression \(a+15d\) adds one extra common difference. Exam tip: always check the \(n-1\) factor.
Frequently asked questions
What is the correct answer to this question?
\(a+14d\)
Why is this the correct answer?
The nth term of an AP is \(a_n=a+(n-1)d\). Substituting \(n=15\) gives \(a_{15}=a+14d\). The expression \(a+15d\) adds one extra common difference. Exam tip: always check the \(n-1\) factor.
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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