True or false? In a geometric sequence where r > 1, the terms always increase.
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True or false? In a geometric sequence where r > 1, the terms always increase.

[From: ] [author: ] [Date: 12-04-16] [Hit: ]
the initial term is positive.the terms decrease,increase in absolute value.Also, in the special case,that a=0,......
False.

It is only true if a, the initial term is positive.

If a <0 , that is , if a is negative, then
the terms decrease, although they
increase in absolute value.

Also, in the special case, sometimes
mathematicians use the word "trivial case"
that a=0, then all of the terms EQUAL zero
1
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