angelinaskerrit angelinaskerrit

11-03-2017
Mathematics

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Determine whether the sequence converges or diverges. If it converges, give the limit.

108, -18, 3, negative one divided by two, ...

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ghanami ghanami

12-03-2017

Hello:
(3)/(-18) =(-18)/(108)= (-1)/(6)
the sequence is géometric when : q= (-1)/(6)
un = u1 × q^(n-1)
un = 108 × ((-1)/(6))^(n-1)
(un) converges to : 0 1 >q>-1

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