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Subjects
Class 10MathematicsArithmetic Progressions (AP)Finding the $n$th term of an APEasyLevel 64

What is the (6)th term of the AP (100,90,80,70,\ldots)?

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Answer and explanation

Correct answer: \(50\)

For this AP, the first term is \(a=100\) and the common difference is \(d=90-100=-10\). The nth-term formula is \(a_n=a+(n-1)d\). Hence, \(a_6=100+(6-1)(-10)=100-50=50\). Therefore, \(50\) is correct. \(40\) would be the 7th term. Exam tip: use \(n-1\), not \(n\), in the nth-term formula.

Tags

arithmetic progressionnth termcommon differencedecreasing apclass 10 mathematics

Frequently asked questions

What is the correct answer to this question?

\(50\)

Why is this the correct answer?

For this AP, the first term is \(a=100\) and the common difference is \(d=90-100=-10\). The nth-term formula is \(a_n=a+(n-1)d\). Hence, \(a_6=100+(6-1)(-10)=100-50=50\). Therefore, \(50\) is correct. \(40\) would be the 7th term. Exam tip: use \(n-1\), not \(n\), in the nth-term formula.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Finding the $n$th term of an AP.

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