Question 457226: how would i write in a assignment the response to these two questions?
1) consider a general Arithmetic sequence a,a+d,a+2d..., state with reasons, wherher such sequences diverge or converge
2)Consider the general Geometric sequence a,ar,ar^2.. state with reasons, the conditons under which such sequences converge and the limit of the sequence when they do converge/
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! How would i write in a assignment the response to these two questions?
1) consider a general Arithmetic sequence a,a+d,a+2d..., state with reasons, wherher such sequences diverge or converge
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Arithmetic sequences always diverge.
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2)Consider the general Geometric sequence a,ar,ar^2.. state with reasons, the conditons under which such sequences converge and the limit of the sequence when they do converge.
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The general term is a(n) = a(1)r^(n-1)
The sequence will converge to zero if |r|< 1 and r not equal to 0.
Note: A geometric sequence is not defined for r = 0.
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Cheers,
Stan H.
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