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Middle term in an AP

The middle term of an AP is the term that lies exactly between two equal numbers of terms on both sides.

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Main explanation

Teacher explanation

When the number of terms in an AP is odd, the middle term is the term at the center. In a well-balanced AP, the middle term is also the average of the first and last terms when the terms are arranged symmetrically.

Example

In 2, 5, 8, 11, 14, the middle term is 8.

Simple analogy

Middle means same number of terms on both sides.

Common confusion

Students sometimes call the third term the middle term without checking whether the sequence has an odd number of terms.

Exam tip

First count the total number of terms. Only then decide which one is in the middle.

Answer writing and exam use

1-mark use

Write the exact meaning of middle term in an ap in one clean line.

2-mark use

Define middle term in an ap and add one example or condition.

3-mark use

Explain middle term in an ap, show the method or example, and mention the common mistake.

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