Question

2, 6, 18, 54, ... what is the tenth term

Answer 1

do you know what a geometric sequence is ?

Answer 2

what is the difference between 2 and 6 and the difference between 6 and 18 just follow that sequence

Answer 3

thats not actually an arithmetic sequence, so that consecutive difference will be same

Answer 4

you have to multiply by 3

Answer 5

its a geometric sequence have a common ratio
that is
r = 2md term/ 1st term = 3rd term/ 2nd term = ...
and so on, all ratios equal

Answer 6

2x3=6
6x3=18
18x3=54
54x3=162
and so on ...

Answer 7

\[\frac{t _n}{t _{(n-1)}},~~~~~~this~~is~~how~~t o~~find~~the~~common~~ratio.\]

Answer 8

To find the nth term of a geometric series,\[t_n=t_1 \times r ^{(n-1)}\]