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Let {an} and {bn} be sequences of real numbers defined as a1 = 1 and for n ≥ 1, an+1 = an + (–1)n 2–n, bn = . Then
  • a)
    {an} converges to zero and {bn} is Cauchy sequence
  • b)
    {an} converges to zero and {bn} is not a convergent sequence
  • c)
    {an} converges to a non-zero number and {bn} is a Cauchy sequence
  • d)
    {an} converges to a non-zero number and {bn} is not a convergent sequence
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Let {an} and {bn} be sequences of real numbers defined as a1 = 1 and f...
Let {an} & {bn} be sequences of real numbers defined as a1 = 1



⇒ {bn} converges to 1.
Hence {bn} will be a Cauchy sequence.
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Most Upvoted Answer
Let {an} and {bn} be sequences of real numbers defined as a1 = 1 and f...
Let {an} & {bn} be sequences of real numbers defined as a1 = 1



⇒ {bn} converges to 1.
Hence {bn} will be a Cauchy sequence.
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Community Answer
Let {an} and {bn} be sequences of real numbers defined as a1 = 1 and f...
Let {an} & {bn} be sequences of real numbers defined as a1 = 1



⇒ {bn} converges to 1.
Hence {bn} will be a Cauchy sequence.
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Let {an} and {bn} be sequences of real numbers defined as a1 = 1 and for n ≥ 1, an+1 = an + (–1)n 2–n, bn = . Thena){an} converges to zero and {bn} is Cauchy sequenceb){an} converges to zero and {bn} is not a convergent sequencec){an} converges to a non-zero number and {bn} is a Cauchy sequenced){an} converges to a non-zero number and {bn} is not a convergent sequenceCorrect answer is option 'C'. Can you explain this answer?
Question Description
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