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What is the sum of the first 9 terms of an arithmetic progression if the first term is 7 and last term is 55?

A. 219

B. 279

C. 231

D. 137

Answer: Option B

Solution(By Examveda Team)

$$\eqalign{ & {S_n} = \frac{n}{2}\left( {a + l} \right) \cr & {S_9} = \frac{9}{2}\left( {7 + 55} \right) \cr & {S_9} = \frac{9}{2} \times 62 \cr & {S_9} = 9 \times 31 \cr & \,\,\,\,\,\,\,\,\, = 279 \cr} $$

This Question Belongs to Arithmetic Ability >> Progressions

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