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The sum of the first 15 terms in an arithmetic progression is 200, while the sum of the next 15 terms is 350. Then the common difference is

Question and options

The sum of the first 15 terms in an arithmetic progression is 200, while the sum of the next 15 terms is 350. Then the common difference is
  1. 79\frac{7}{9}
  2. 23\frac{2}{3}
  3. 49\frac{4}{9}
  4. 13\frac{1}{3}

Answer and explanation

Correct answer: B - \(\frac{2}{3}\)
Difference between sum of terms 16-30 and terms 1-15 = 15 terms each shifted by 15d: 225d=350-200=150, so d=2/3.

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