Sequences and Series

Hong Kong

Stage 4 - Stage 5

Consider the first-order recurrence relationship defined by $T_n=T_{n-1}+2$`T``n`=`T``n`−1+2, $T_1=5$`T`1=5.

a

Determine the next four terms of the sequence, from $T_2$`T`2 to $T_5$`T`5.

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

b

Plot the first five 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 first-order recurrence relationship defined by $T_n=T_{n-1}-2$`T``n`=`T``n`−1−2, $T_1=5$`T`1=5.

Easy

2min

Consider the sequence plot drawn below.

Easy

2min

Consider the sequence $4,6,8,10,12,\dots$4,6,8,10,12,…

Easy

1min

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