Sequences and Series
Interactive practice questions
The $n$nth term of a geometric progression is given by the equation $T_n=2\times3^{n-1}$Tn=2×3n−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
Easy
3min
The $n$nth term of a geometric progression is given by the equation $T_n=6\times\left(-2\right)^{n-1}$Tn=6×(−2)n−1.
Easy
3min
The $n$nth term of a geometric progression is given by the equation $T_n=25\times\left(\frac{1}{5}\right)^{n-1}$Tn=25×(15)n−1.
Easy
2min
The $n$nth term of a geometric progression is given by the equation $T_n=-81\times\left(-\frac{4}{3}\right)^{n-1}$Tn=−81×(−43)n−1.
Easy
3min
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