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Let San be a convergent series of positive terms and let Sbn be a divergent series of positive terms. Then,

  • a)
    the sequence < an > is convergent and < bn > is not convergent

  • b)
    the sequence < an > converges to 0

  • c)
    the sequence < bn > does not converge to 0 

  • d)
    the sequence < bn > diverges to ∞

Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Let San be a convergent series of positive terms and let Sbn be a dive...
Take an example of <a(n)>=1/n^2 and <b(n)>=1/n 
then you can omit options a,c.d

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Community Answer
Let San be a convergent series of positive terms and let Sbn be a dive...
The correct option is 2.
Since San is convergent, its sequence of terms must converge to 0. This is because if the terms did not converge to zero, then the sum would not converge.
On the other hand, Sbn is divergent, which means that its sequence of terms does not converge to 0. If it did, then the series would converge by the nth term test.
Therefore, option 2 is the correct answer.
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Let San be a convergent series of positive terms and let Sbn be a divergent series of positive terms. Then,a)the sequence < an > is convergent and < bn> is not convergentb)the sequence < an > converges to 0c)the sequence < bn > does not converge to 0d)the sequence < bn > diverges to∞Correct answer is option 'B'. Can you explain this answer?
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Let San be a convergent series of positive terms and let Sbn be a divergent series of positive terms. Then,a)the sequence < an > is convergent and < bn> is not convergentb)the sequence < an > converges to 0c)the sequence < bn > does not converge to 0d)the sequence < bn > diverges to∞Correct answer is option 'B'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let San be a convergent series of positive terms and let Sbn be a divergent series of positive terms. Then,a)the sequence < an > is convergent and < bn> is not convergentb)the sequence < an > converges to 0c)the sequence < bn > does not converge to 0d)the sequence < bn > diverges to∞Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let San be a convergent series of positive terms and let Sbn be a divergent series of positive terms. Then,a)the sequence < an > is convergent and < bn> is not convergentb)the sequence < an > converges to 0c)the sequence < bn > does not converge to 0d)the sequence < bn > diverges to∞Correct answer is option 'B'. Can you explain this answer?.
Solutions for Let San be a convergent series of positive terms and let Sbn be a divergent series of positive terms. Then,a)the sequence < an > is convergent and < bn> is not convergentb)the sequence < an > converges to 0c)the sequence < bn > does not converge to 0d)the sequence < bn > diverges to∞Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mathematics. Download more important topics, notes, lectures and mock test series for Mathematics Exam by signing up for free.
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