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Subjects
Class 10MathematicsArithmetic Progressions (AP)Finding the $n$th term of an APEasyLevel 61

What is the fourth term in (14,18,22,26,\ldots)?

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Answer and explanation

Correct answer: 26

Each term in the sequence is 4 greater than the preceding term, so it is an arithmetic progression with first term 14 and common difference 4. The fourth term is \(a_4=a_1+3d=14+3\times4=26\). Remember that the common difference is added three times to reach the fourth term.

Tags

arithmetic progressioncommon differenceterm positionclass 10

Frequently asked questions

What is the correct answer to this question?

26

Why is this the correct answer?

Each term in the sequence is 4 greater than the preceding term, so it is an arithmetic progression with first term 14 and common difference 4. The fourth term is \(a_4=a_1+3d=14+3\times4=26\). Remember that the common difference is added three times to reach the fourth 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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