00:01
So in this question, basically we need to find explicit formula for the geometric sequence whose second term is given and fifth term is given.
00:10
So we know that explicit formula of gp is simply a n equals to a into r to the power n minus 1.
00:19
So we'll find the value of a and r.
00:23
So a2 is simply a into r if we put n equals to 2 here.
00:30
So this will given as minus 16.
00:35
A is the first term.
00:37
Here, a is the first term.
00:42
And r is the common ratio.
00:44
R is the common ratio.
00:50
And a5 is simply a r to the power 4 and that is minus 1 0 to 4 is given.
00:58
Suppose this is the first condition and this is the second condition.
01:02
So if we divide second by 1, we simply get r to 3 power 3 is equal to minus 1024 upon 16...