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Sum of n Terms

The sum of th...

Question

The sum of the first and the $9 t h$ of an arithmetic progression is $24$ . What is the sum of the first nine terms of the progression?

A

240

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B

216

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C

108

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D

120

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Solution

The correct option is B $216$
Given the sum of the $1 s t$ and the $9 t h$ of an arithmetic progression is $24$ .
Then $S_{n} = \frac{n [a_{1} + a_{9}]}{2} = \frac{9 [24]}{2} = 216$

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