Sequences and Series

Hong Kong

Stage 4 - Stage 5

The $n$`n`th term of an arithmetic progression is given by the equation $T_n=12+4\left(n-1\right)$`T``n`=12+4(`n`−1).

a

Complete the table of values.

$n$n |
$1$1 | $2$2 | $3$3 | $4$4 | $10$10 |
---|---|---|---|---|---|

$T_n$Tn |
$\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |

b

By how much are consecutive terms in the sequence increasing?

c

Plot the points in the table on the graph.

Loading Graph...

d

If the points on the graph were joined, they would form:

a straight line

A

a curved line

B

Easy

Approx 3 minutes

The $n$`n`th term of an arithmetic progression is given by the equation $T_n=15-5\left(n-1\right)$`T``n`=15−5(`n`−1).

The plotted points represent terms in an arithmetic sequence:

The plotted points represent terms in an arithmetic sequence:

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