The (n)th-term formula of the AP (19,26,33,\ldots) is (a_n=7n+12). What is the (41)st term?
Answer and explanation
Correct answer: 299
The given formula is \(a_n=7n+12\). For the \(41\)st term, substitute \(n=41\): \(a_{41}=7\times41+12=287+12=299\). Therefore, the correct answer is \(299\). A choice such as \(294\) may result from an arithmetic error. Exam tip: substitute the given value of \(n\) directly into the formula for \(a_n\).
Frequently asked questions
What is the correct answer to this question?
299
Why is this the correct answer?
The given formula is \(a_n=7n+12\). For the \(41\)st term, substitute \(n=41\): \(a_{41}=7\times41+12=287+12=299\). Therefore, the correct answer is \(299\). A choice such as \(294\) may result from an arithmetic error. Exam tip: substitute the given value of \(n\) directly into the formula for \(a_n\).
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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