Let {x,} be a real sequence such that 7xn+1 = x + 6 for n 2 1. Then which of the following statements is/ are TRUE? (a) 1 then {x„} converges to 1 If 1 then {x} converges to 2 2 (b) If 3 then {x} converges to 1 2 (c) If %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let {x,} be a real sequence such that
7Xn+1 = x +6 for n 21.
Then which of the following statements is/
are TRUE?
(a)
If X1
1
then {x,} converges to 1
(b)
If x, =
1.
then {x,} converges to 2
(c)
If x,
3
then {x„} converges to 1
3
then {x,} converges to -3
2
(d)
If X1
Transcribed Image Text:Let {x,} be a real sequence such that 7Xn+1 = x +6 for n 21. Then which of the following statements is/ are TRUE? (a) If X1 1 then {x,} converges to 1 (b) If x, = 1. then {x,} converges to 2 (c) If x, 3 then {x„} converges to 1 3 then {x,} converges to -3 2 (d) If X1
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