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CanadaON
Grade 11

Graphs and Tables - Recurrence Relations

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.

Loading Graph...
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=2Un4 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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Outcomes

11U.C.1.2

Determine and describe a recursive procedure for generating a sequence, given the initial terms and represent sequences as discrete functions in a variety of ways

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