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India
Class XI

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

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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