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India
Class XI

Solutions to Recurrence Relations

Interactive practice questions

Identify the difference equations that generate arithmetic sequences.

Select all that apply.

$u_n=u_{n-1}-9$un=un19

A

$t_{n+1}=t_n+5$tn+1=tn+5

B

$t_{n+1}=8t_n$tn+1=8tn

C

$G_{n+1}=6-G_n$Gn+1=6Gn

D

$t_{n+1}=2t_n+7$tn+1=2tn+7

E
Easy
< 1min

Solve the difference equation $t_{n+1}=t_n+5$tn+1=tn+5 where $t_1=7$t1=7.

Easy
2min

Solve the difference equation $t_{n+1}=t_n-5$tn+1=tn5 where $t_1=2$t1=2.

Easy
1min

Solve the difference equation $t_n=t_{n-1}-9$tn=tn19 where $t_1=2$t1=2.

Easy
1min
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Outcomes

11.A.SS.1

Sequence and Series. Arithmetic progression (A. P.), arithmetic mean (A.M.). Geometric progression (G.P.), general term of a G. P., sum of n terms of a G.P., geometric mean (G.M.), relation between A.M. and G.M. Sum to n terms of the special series, involving n, n^2, n^3 (see syllabus)

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