Which of the following sequences are convergent? Select all that apply
2 answers:
Answer:
A geometric sequence with and
are convergent.
Step-by-step explanation:
Given the sequences AP and GP i.e arithmetic and geometric sequence. we have to tell the convergence of these series.
we know that the arithmetic series can never be convergent
and for Geometric series, if the common ratio r lies between |0| and |1| then the terms of GP series become smaller and smaller, approaching to → 0 in the limit and the series converges.
Hence, from the given sequence
a geometric sequence with and
are convergent.
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Here's the solution ~
As we know, we can calculate the circumference of a circle in terms of its diameter as :
where, c = circumference and d = diameter
And also, circumference of circle is terms of radius (r) is :
Now, let's move on to questions ~
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