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

An arithmetic progression has an odd number of terms. The sum of its first and last terms is equal to twice which term?

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Answer and explanation

Correct answer: मध्य पद

In an AP with an odd number of terms, the middle term is the arithmetic mean of the first and last terms. Hence, first term + last term = 2 × middle term. Exam tip: first check whether the number of terms is odd.

Tags

arithmetic progressionap propertiesmiddle termnth termclass 10 mathematics

Frequently asked questions

What is the correct answer to this question?

मध्य पद

Why is this the correct answer?

In an AP with an odd number of terms, the middle term is the arithmetic mean of the first and last terms. Hence, first term + last term = 2 × middle term. Exam tip: first check whether the number of terms is odd.

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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