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I’m confused on how to find sequences that are convergent?

I’m confused on how to find sequences that are convergent?-example-1
User Lzydrmr
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1 Answer

2 votes

The Solution:

A geometric sequence is said to converge if the value of the modulus of r is less than one, that is, when |r| < 1, the series converges. But when |r| ≥ 1, the series/sequence diverges.

Clearly, we have that:


\begin{gathered} \text{ r=3 does not converge } \\ \text{ So, option A does not converge.} \end{gathered}

[Option C] converges since


|r|=(3)/(5)<1

Similarly,

[Option E] converges since


|r|=-(1)/(6)<1

Therefore, the correct answer is [option C and E]

User Hakunami
by
6.5k points
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