The (n)th-term formula of the AP (23,31,39,\ldots) is (a_n=8n+15). What is the (36)th term?
Answer and explanation
Correct answer: 303
The given formula is \(a_n=8n+15\). Substituting \(n=36\), we get \(a_{36}=8\times36+15=288+15=303\). Therefore, 303 is the correct answer. Getting 301 would indicate an error in multiplication or addition. Exam tip: In an AP nth-term formula, directly substitute the required term number for \(n\).
Frequently asked questions
What is the correct answer to this question?
303
Why is this the correct answer?
The given formula is \(a_n=8n+15\). Substituting \(n=36\), we get \(a_{36}=8\times36+15=288+15=303\). Therefore, 303 is the correct answer. Getting 301 would indicate an error in multiplication or addition. Exam tip: In an AP nth-term formula, directly substitute the required term number 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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