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If (a_n=n^2+2), what is the fifth term?

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Answer and explanation

Correct answer: 27

For the fifth term, substitute \(n=5\) in the formula: \(a_5=5^2+2=25+2=27\). Hence, 27 is correct. The value 25 is only \(5^2\); the additional 2 must also be included. Exam tip: Substitute the required value of \(n\) first, then follow the order of operations carefully.

Related tags

Sequences And ProgressionsNth TermQuadratic SequenceClass 9 MathematicsSubstitution

Frequently asked questions

What is the correct answer to this question?

27

Why is this the correct answer?

For the fifth term, substitute \(n=5\) in the formula: \(a_5=5^2+2=25+2=27\). Hence, 27 is correct. The value 25 is only \(5^2\); the additional 2 must also be included. Exam tip: Substitute the required value of \(n\) first, then follow the order of operations carefully.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: nth term.

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