Carl Hood
2022-03-03
tardanetkd2
Beginner2022-03-04Added 9 answers
a) It is required to explain the condition on common ratio r and initial value a to make the resulting geometric sequence increasing.
General geometric sequence with common ratio r and initial value a is represented as:
For this sequence to be increasing:
Now
Thus, for geometric sequence to be increasing the condition on common ratio r should be greater than or equals to 1, and no condition om initial value a is required.
b) It is required to explain the condition on common ratio r and initial value a to make the resulting geometric sequence is decreasing.
to be decreasing:
Thus, for geometric sequence to be decreasing the condition on common ratio r that it should be less than or equals to 1, and no condition on initial value a is required.
c) It is required to explain the condition on the common difference d and initial value a, that would make the resulting arithmetic sequence increasing
Note that a general arithmetic sequence with common difference d and initial value a is represented as:
To be increasing:
Thus, for arithmetic sequence to be increasing the condition on common difference d that it should be greater than or equals to 0, and no condition on initial value a is required.
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V=??
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b)
c)
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a.
b.
c.
d.
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,
,
,
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simplify
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