The value of f(7) is 1.08
Solution:
Given that,
[tex]f(5) = 12[/tex]
The sequence is defined recursively by formula:
[tex]f(n) = 0.3 \times f(n-1)[/tex]
where n is an integer and n is greater than 0
Substitute n = 6 in given formula,
[tex]f(6) = 0.3 \times f(6-1)\\\\f(6) = 0.3 \times f(5)\\\\Substitute\ f(5) = 12\\\\f(6) = 0.3 \times 12\\\\f(6) = 3.6[/tex]
Find f(7)
Substitute f = 7 in given formula
[tex]f(7) = 0.3 \times f(7-1)\\\\f(7) = 0.3 \times f(6)\\\\f(7) = 0.3 \times 3.6\\\\f(7) = 1.08[/tex]
Thus the value of f(7) is 1.08
