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
Identify the difference equations that generate geometric sequences.
Select all that apply.
Easy
< 1min
Consider the recurrence relation $u_{n+1}=u_n+3$un+1=un+3.
Medium
3min
The balance of a savings account earning simple interest each year is given by the explicit rule $V_n=2100+400\left(n-1\right)$Vn=2100+400(n−1), where $V_n$Vn is the balance after $n$n years.
Medium
2min
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