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If (a_n=4n^2-3n+2), what is the value of (a_7)?

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Answer and explanation

Correct answer: 177

To find the seventh term, substitute n=7: a_7=4(7)^2-3(7)+2=4×49-21+2=196-21+2=177. Therefore, 177 is the correct answer. A value such as 181 usually results from an error in subtraction or addition. Exam tip: evaluate the power first, then perform multiplication and addition/subtraction.

Related tags

SequencesProgressionsNth TermQuadratic SequenceSubstitution

Frequently asked questions

What is the correct answer to this question?

177

Why is this the correct answer?

To find the seventh term, substitute n=7: a_7=4(7)^2-3(7)+2=4×49-21+2=196-21+2=177. Therefore, 177 is the correct answer. A value such as 181 usually results from an error in subtraction or addition. Exam tip: evaluate the power first, then perform multiplication and addition/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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