For an arithmetic progression the sum of the first 6 terms is 99 and the sum of the…

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Problem

For an arithmetic progression the sum of the first 6 terms is 99 and the sum of the first 9 terms is 198. Which of the following gives the correct values of the first term aa and the common difference dd? (a) a=113,  d=223a=\dfrac{11}{3},\; d=\dfrac{22}{3} (b) a=223,  d=116a=\dfrac{22}{3},\; d=\dfrac{11}{6} (c) a=223,  d=113a=\dfrac{22}{3},\; d=\dfrac{11}{3} (d) a=7,  d=113a=7,\; d=\dfrac{11}{3}

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