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India
Class XI

Recurrence relationships for GP's

Interactive practice questions

Consider the first-order recurrence relationship defined by $T_n=2T_{n-1},T_1=2$Tn=2Tn1,T1=2.

a

Determine the next three terms of the sequence from $T_2$T2 to $T_4$T4.

Write all three terms on the same line, separated by commas.

b

Plot the first four terms on the graph below.

Loading Graph...
c

Is the sequence generated from this definition arithmetic or geometric?

Arithmetic

A

Geometric

B

Neither

C
Easy
2min

Consider the sequence plot drawn below.

Easy
1min

Consider the sequence $9000,1800,360,72,\dots$9000,1800,360,72,

Write a recursive rule for $T_n$Tn in terms of $T_{n-1}$Tn1 and an initial condition for $T_1$T1.

Write both parts on the same line separated by a comma.

Easy
1min

Consider the sequence $40$40, $20$20, $10$10, $5$5, $\text{. . .}$. . .

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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