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The Tripartite Struggle

If a 1, a 2, ...

Question

If $a_{1}, a_{2}, a_{3}, a_{4}$ are in AP, then

A

$a_{1} + a_{4} = a_{2} + a_{3}$

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B

$a_{1} + a_{2} = a_{2} + a_{3}$

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C

$a_{1} + a_{2} = a_{3} + a_{4}$

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D

$a_{1} + a_{3} = a_{2} + a_{4}$

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Solution

The correct option is A
$a_{1} + a_{4} = a_{2} + a_{3}$

The sum of the first term and the last term are equal to the sum of the second term and the second last term and so on.
Hence, here $a_{1} + a_{4} = a_{2} + a_{3}$

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