Consider the sequence aj = 12 a2 = /12 + V12 as = /12+ V12+ Vī2 12 + V12 12 + a4 = 12 + 1/12 + 12 + 12 (a) Find a recursion formula for an+1. An+1 = V12+an Edit (b) Assuming that the sequence converges, find its limit L. L = 4 Edit

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the sequence
a¡ = V12
az = V12+ yī2
-V12+ V12+ VT2
12 + V12
az =
12 + V12
a4 = 1/12 + 1/12 + 1/12 + V12
(a) Find a recursion formula for an+1.
an+1 =
12+аn
Edit
(b) Assuming that the sequence converges, find its limit L.
L =
4
Edit
Transcribed Image Text:Consider the sequence a¡ = V12 az = V12+ yī2 -V12+ V12+ VT2 12 + V12 az = 12 + V12 a4 = 1/12 + 1/12 + 1/12 + V12 (a) Find a recursion formula for an+1. an+1 = 12+аn Edit (b) Assuming that the sequence converges, find its limit L. L = 4 Edit
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