Sequences and Series
Solutions to Recurrence Relations
Interactive practice questions
Identify the difference equations that generate arithmetic sequences.
Select all that apply.
$u_n=u_{n-1}-9$un=un−1−9
A
$t_{n+1}=t_n+5$tn+1=tn+5
B
$t_{n+1}=8t_n$tn+1=8tn
C
$G_{n+1}=6-G_n$Gn+1=6−Gn
D
$t_{n+1}=2t_n+7$tn+1=2tn+7
E
Easy
< 1min
Solve the difference equation $t_{n+1}=t_n+5$tn+1=tn+5 where $t_1=7$t1=7.
Easy
2min
Solve the difference equation $t_{n+1}=t_n-5$tn+1=tn−5 where $t_1=2$t1=2.
Easy
1min
Solve the difference equation $t_n=t_{n-1}-9$tn=tn−1−9 where $t_1=2$t1=2.
Easy
1min
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