Answer:
[tex]A_{5} = 1875[/tex]
Step-by-step explanation:
The geometric sequence is represented by
[tex]A_{n} = 5 \times A_{n - 1}[/tex] .......... (1) and [tex]A_{1} = 3[/tex]
So, [tex]A_{2} = 5 \times A_{2 - 1} = 5 \times A_{1} = 5 \times 3 = 15[/tex]
{Putting n = 2}
Again, putting n = 3 in equation (1), we get
[tex]A_{3} = 5 \times A_{2} = 5 \times 15 = 75[/tex]
Again, putting n = 4 in equation (1), we get
[tex]A_{4} = 5 \times A_{3} = 5 \times 75 = 375[/tex]
Again, putting n = 5 in equation (1), we get
[tex]A_{5} = 5 \times A_{4} = 5 \times 375 = 1875[/tex] (Answer)
