Sequences and Series
Interactive practice questions
Consider the recurrence relation $U_{n+1}=0.5U_n+2$Un+1=0.5Un+2 and $U_0=20$U0=20.
a
Find $U_1$U1.
b
Find $U_2$U2.
c
Find $U_3$U3.
d
Complete the table of values.
| $n$n | $0$0 | $1$1 | $2$2 | $3$3 |
|---|---|---|---|---|
| $U_n$Un | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |
e
Graph the relation.
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Easy
2min
Consider the recurrence relation $U_{n+1}=2U_n+100$Un+1=2Un+100 and $U_0=-50$U0=−50.
Easy
2min
Consider the recurrence relation $U_{n+1}=-2U_n-4$Un+1=−2Un−4 and $U_0=2$U0=2.
Easy
2min
Consider the recurrence relation $u_{n+1}=2u_n+2$un+1=2un+2, $u_0=2$u0=2.
Easy
3min
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