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M4U-9709-SE26-E-GP018 marks

E-GP01 · Alternating signs and even indices

A real GP has \(u_2=-12\) and \(u_5=96\).

Find a and r.

[2]

Find \(u_6\) and \(S_6\), explaining why they are different.

[3]

Explain why no sum to infinity exists. Find the least positive even n for which \(S_n<-500\).

[3]

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