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Subjects

What will be the fifth term in (2,7,12,17,\ldots)?

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Answer and explanation

Correct answer: 22

This is an arithmetic progression with common difference \(d=7-2=5\). Using \(a_5=a_1+(5-1)d\), we get \(a_5=2+4\times5=22\). Therefore, option C is correct. Exam tip: when the consecutive difference is constant, add the common difference to obtain the next term.

Tags

arithmetic progressionscommon differencefifth termclass 10

Frequently asked questions

What is the correct answer to this question?

22

Why is this the correct answer?

This is an arithmetic progression with common difference \(d=7-2=5\). Using \(a_5=a_1+(5-1)d\), we get \(a_5=2+4\times5=22\). Therefore, option C is correct. Exam tip: when the consecutive difference is constant, add the common difference to obtain the next term.

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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