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3.06 Geometric progressions -calculator assumed

Interactive practice questions

Consider the first four terms in the following geometric sequence.

$-9,-10.8,-12.96,-15.552,\ldots$9,10.8,12.96,15.552,

a

If $T_n$Tn is the $n$nth term, evaluate $\frac{T_2}{T_1}$T2T1.

b

Evaluate $\frac{T_3}{T_2}$T3T2.

c

Evaluate $\frac{T_4}{T_3}$T4T3.

d

Hence find the value of $T_5$T5.

Easy
2min

Consider the first four terms in this geometric sequence: $-8$8, $-16$16, $-32$32, $-64$64

Easy
1min

Study the pattern for the following geometric sequence, and write down the next two terms.

Easy
< 1min

Study the pattern for the following geometric sequence, and write down the next two terms.

Easy
< 1min
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Outcomes

3.2.5

use recursion to generate a geometric sequence

3.2.6

display the terms of a geometric sequence in both tabular and graphical form and demonstrate that geometric sequences can be used to model exponential growth and decay in discrete situations

3.2.7

deduce a rule for the nth term of a particular geometric sequence from the pattern of the terms in the sequence, and use this rule to make predictions

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