Sequences and Series

The $n$`n`th term of a geometric progression is given by the equation $T_n=2\times3^{n-1}$`T``n`=2×3`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

What is the common ratio between consecutive terms?

c

Plot the points in the table that correspond to $n=1$`n`=1, $n=2$`n`=2, $n=3$`n`=3 and $n=4$`n`=4.

Loading Graph...

d

If the plots on the graph were joined they would form:

a straight line

A

a curved line

B

a straight line

A

a curved line

B

Easy

Approx 3 minutes

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Use arithmetic and geometric sequences and series

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