Sequences and Series
New Zealand
Level 7 - NCEA Level 2
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=2Tn−1,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 $T_{n-1}$Tn−1 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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