Find the middle term

Algebra Level 2

An arithmetic progression is composed of 13 13 terms. The 1 s t 1^{st} term is 53.5 53.5 and the 1 3 t h 13^{th} term is 125.5 125.5 . Find the middle term.

89.5 59.5 77.5 95.5 83.5

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2 solutions

The middle term is exactly at the middle so we just take the average of the first and the last term, 53.5 + 125.5 2 = 89.5 \dfrac{53.5+125.5}{2}=\boxed{\color{#D61F06}89.5} .

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middle term = 53.5 + 125.5 2 = \text{middle term}=\dfrac{53.5+125.5}{2}= 89.5 \boxed{89.5}

Note: Since the number of terms is odd and the first and last terms are given, we can easily get the middle term by getting the average of the first and the last term.

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