Sequences and Series

NZ Level 7 (NZC) Level 2 (NCEA)

Solutions to Recurrence Relations

Identify the difference equations that generate arithmetic sequences.

Select all that apply.

$u_n=u_{n-1}-9$`u``n`=`u``n`−1−9

A

$t_{n+1}=t_n+5$`t``n`+1=`t``n`+5

B

$t_{n+1}=8t_n$`t``n`+1=8`t``n`

C

$G_{n+1}=6-G_n$`G``n`+1=6−`G``n`

D

$t_{n+1}=2t_n+7$`t``n`+1=2`t``n`+7

E

$u_n=u_{n-1}-9$`u``n`=`u``n`−1−9

A

$t_{n+1}=t_n+5$`t``n`+1=`t``n`+5

B

$t_{n+1}=8t_n$`t``n`+1=8`t``n`

C

$G_{n+1}=6-G_n$`G``n`+1=6−`G``n`

D

$t_{n+1}=2t_n+7$`t``n`+1=2`t``n`+7

E

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