Solution
Here the first term = -2
5th term = -1/8
Now we have to find the common ratio (r)
Fifth term A5 = -1/8
-1/8 = [tex]a_{1} r^{4}[/tex]
Here [tex]a_{1} = -2[/tex]
Plug in [tex]a_{1} = -2[/tex] in the fifth term and find the value of r.
-1/8 = -2[tex]r^{4}[/tex]
r^4 = 1/16
Taking 4th root, we get
r = 1/2
Now let's find the second term.
first term *r = -2 *1/2 = -1
2nd term = first term * 1/2 = -1
3rd term = second term * 1/2 = -1 * 1/2 = -1/2
4th term = 3rd term *r = -1/2 *1/2 = -1/4
Thank you :)
