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If (a_n=4n^2+3), what is the value of (a_3+a_5)?

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Answer and explanation

Correct answer: 142

Given \(a_n=4n^2+3\), \(a_3=4(3)^2+3=39\) and \(a_5=4(5)^2+3=103\). Therefore, \(a_3+a_5=39+103=142\). A value such as 140 can result from an error while squaring or adding. Exam tip: substitute each required value of \(n\) separately into the general term before finding their sum.

Related tags

SequencesProgressionsExplicit RuleQuadratic SequenceSubstitution

Frequently asked questions

What is the correct answer to this question?

142

Why is this the correct answer?

Given \(a_n=4n^2+3\), \(a_3=4(3)^2+3=39\) and \(a_5=4(5)^2+3=103\). Therefore, \(a_3+a_5=39+103=142\). A value such as 140 can result from an error while squaring or adding. Exam tip: substitute each required value of \(n\) separately into the general term before finding their sum.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Explicit or general rule.

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