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The (n)th term of an AP is (a_n=2n+3). What will be the (18)th term?

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Answer and explanation

Correct answer: 39

Given \(a_n=2n+3\), substitute \(n=18\) to find the 18th term: \(a_{18}=2(18)+3=36+3=39\). Therefore, 39 is correct. The option 41 can result from an arithmetic error while multiplying or adding. Exam tip: substitute the term number carefully into the formula before simplifying.

Related tags

Arithmetic ProgressionNth TermLinear ExpressionClass 10 MathematicsSubstitution

Frequently asked questions

What is the correct answer to this question?

39

Why is this the correct answer?

Given \(a_n=2n+3\), substitute \(n=18\) to find the 18th term: \(a_{18}=2(18)+3=36+3=39\). Therefore, 39 is correct. The option 41 can result from an arithmetic error while multiplying or adding. Exam tip: substitute the term number carefully into the formula before simplifying.

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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