Give a recursive definition of the sequence (a), n = 1, 2, 3,. if an = 3n - 1 Choose ALL that apply. O a. a1 = 2 and a, - 1 = an + 3 for all n 2 1 O b. a, = 2 and a, +1= an + 3-1 for all n 2 2 O c. a, = 2 and a, 1 = a, + 3 for all n 2 0 O d. an+1= an + 3 for all n 2 1 O e. a1= 2 and a,+1= an- 3 for all n 2 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Give a recursive definition of the sequence {a,), n = 1, 2, 3,. if a, = 3n - 1
Choose ALL that apply.
O a. aj = 2 and a, -1 = an + 3 for all n 2 1
%3D
O b. a, = 2 and a,+1 = a, +3-1 for all n > 2
O c. a, = 2 and a,1 = a, + 3 for all n 2 0
%3!
O d. an+1 = an + 3 for all n 2 1
O e. a1= 2 and a,+1= an-3 for all n 2 1
Transcribed Image Text:Give a recursive definition of the sequence {a,), n = 1, 2, 3,. if a, = 3n - 1 Choose ALL that apply. O a. aj = 2 and a, -1 = an + 3 for all n 2 1 %3D O b. a, = 2 and a,+1 = a, +3-1 for all n > 2 O c. a, = 2 and a,1 = a, + 3 for all n 2 0 %3! O d. an+1 = an + 3 for all n 2 1 O e. a1= 2 and a,+1= an-3 for all n 2 1
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