For an arithmetic progression

MATHEMATICS · Single correct · A Level · Mathematics · Sequences and series · Sequences and series

Problem

For an arithmetic progression, the sum of the first 5 terms is 60 and the sum of the first 10 terms is 235. Which of the following pairs gives the first term and common difference of the progression? (a) (345, 135)(\tfrac{34}{5},\,\tfrac{13}{5}) (b) (145, 235)(\tfrac{14}{5},\,\tfrac{23}{5}) (c) (12, 235)(\tfrac{1}{2},\,\tfrac{23}{5}) (d) (75, 2310)(\tfrac{7}{5},\,\tfrac{23}{10})

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