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India
Class XI

Graphs and Tables - GP's

Interactive practice questions

The $n$nth term of a geometric progression is given by the equation $T_n=2\times3^{n-1}$Tn=2×3n1.

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)n1.

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)n1.

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)n1.

Easy
3min
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Outcomes

11.A.SS.1

Sequence and Series. Arithmetic progression (A. P.), arithmetic mean (A.M.). Geometric progression (G.P.), general term of a G. P., sum of n terms of a G.P., geometric mean (G.M.), relation between A.M. and G.M. Sum to n terms of the special series, involving n, n^2, n^3 (see syllabus)

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