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If (a_n=17-4n), what is the value of (a_5+a_{11})?

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Answer and explanation

Correct answer: -30

Given \(a_n=17-4n\), \(a_5=17-4(5)=-3\) and \(a_{11}=17-4(11)=-27\). Therefore, \(a_5+a_{11}=-3+(-27)=-30\). A value such as \(-28\) can result from an error while adding the negative terms. Exam tip: find each required term separately and then add them with their signs.

Related tags

Sequences And ProgressionsNth TermArithmetic SequenceSubstitutionIntegers

Frequently asked questions

What is the correct answer to this question?

-30

Why is this the correct answer?

Given \(a_n=17-4n\), \(a_5=17-4(5)=-3\) and \(a_{11}=17-4(11)=-27\). Therefore, \(a_5+a_{11}=-3+(-27)=-30\). A value such as \(-28\) can result from an error while adding the negative terms. Exam tip: find each required term separately and then add them with their signs.

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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