First term and common difference of an arithmetic sequence whose fifth term equals the sum of its first five terms

First term and common difference of an arithmetic sequence whose fifth term equals the sum of its first five terms

5 marks

The fifth term of an arithmetic sequence and the sum of its first five terms are both equal to \(-15\). Find the first term, \(u_1\), and the common difference, \(d\), of the sequence.[5]

Solution:

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Answer:\(u_1=9,\ d=-6\)

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