Sequences and Series

NZ Level 7 (NZC) Level 2 (NCEA)

Graphs and Tables - Recurrence Relations

Consider the recurrence relation $U_{n+1}=0.5U_n+2$`U``n`+1=0.5`U``n`+2 and $U_0=20$`U`0=20.

a

Find $U_1$`U`1.

b

Find $U_2$`U`2.

c

Find $U_3$`U`3.

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

Approx 3 minutes

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Use arithmetic and geometric sequences and series

Apply sequences and series in solving problems