NZ Level 7 (NZC) Level 2 (NCEA)
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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.

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Easy
Approx 3 minutes
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Consider the recurrence relation $U_{n+1}=2U_n+100$Un+1=2Un+100 and $U_0=-50$U0=50.

Consider the recurrence relation $U_{n+1}=-2U_n-4$Un+1=2Un4 and $U_0=2$U0=2.

Consider the recurrence relation $u_{n+1}=2u_n+2$un+1=2un+2, $u_0=2$u0=2.

Outcomes

M7-3

Use arithmetic and geometric sequences and series

91258

Apply sequences and series in solving problems

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