D part needed by Hand solution Kindly solve part D in the order to get positive feedback please show me neat and clean work for it by hand solution needed 5. Let (an) and (bn) be two sequences of real numbers.Prove or disprove each of the following statements:(a) (*. 7) If the sequence (an)n-1 is defined by the recursive formulaan+1 = -2-a, a₁ = 1, then (an)=1 converges.(b) (^_ a) If anexist, then limn4x(c) {-) If for every sequence of real numbers (Cn)1 for whichlim Cn does not exist, we have lim (an+cn) does not exist, then818lim an exists.81x(d) (-- .bn for every n e N and lim an and lim bn do not(an-bn) 0.84x84xconverges.848If lim (a2n-an) = 0, then the sequence (an)n=184x

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(d) (--. converges. If lim (a2n-an) = 0, then the sequence (an)n=1 84x

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter12: Sequences, Series And Binomial Theorem

Section: Chapter Questions

Problem 327PT: Find the twenty-third term of an arithmetic sequence whose seventh term is 11 and common difference...

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Question

D part needed by Hand solution Kindly solve part D in the order to get positive feedback please show me neat and clean work for it by hand solution needed

5. Let (an) and (bn) be two sequences of real numbers.
Prove or disprove each of the following statements:
(a) (*. 7) If the sequence (an)n-1 is defined by the recursive formula
an+1 = -2-a, a₁ = 1, then (an)=1 converges.
(b) (^_ a) If an
exist, then lim
n4x
(c) {
-) If for every sequence of real numbers (Cn)1 for which
lim Cn does not exist, we have lim (an+cn) does not exist, then
818
lim an exists.
81x
(d) (-- .
bn for every n e N and lim an and lim bn do not
(an-bn) 0.
84x
84x
converges.
848
If lim (a2n-an) = 0, then the sequence (an)n=1
84x

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