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If (a_n=7n^2-3n+5), what is the value of (a_6)?

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Answer and explanation

Correct answer: 239

Substitute n=6: a_6=7(6)^2-3(6)+5=7×36-18+5=252-18+5=239. Therefore, 239 is correct. Option 252 is only the value of 7×6² and ignores the terms -3n+5. Exam tip: evaluate the exponent first, then perform multiplication and addition or subtraction.

Related tags

SequencesProgressionsNth TermQuadratic SequenceSubstitution

Frequently asked questions

What is the correct answer to this question?

239

Why is this the correct answer?

Substitute n=6: a_6=7(6)^2-3(6)+5=7×36-18+5=252-18+5=239. Therefore, 239 is correct. Option 252 is only the value of 7×6² and ignores the terms -3n+5. Exam tip: evaluate the exponent first, then perform multiplication and addition or subtraction.

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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