First term and common difference of an arithmetic sequence from one term and the sum of two others

First term and common difference of an arithmetic sequence from one term and the sum of two others

5 marks

In an arithmetic sequence, \(u_4=17\) and \(u_9+u_{15}=2\). Find \(u_1\) and the common difference \(d\).[5]

Solution:

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Answer:\(u_1=23,\ d=-2\)

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