222k views
18 votes
If f(1) = 6 and f(n) = 5f(n - 1) then find the value of f(6).

User Hamza Azad
by
3.9k points

1 Answer

9 votes

9514 1404 393

Answer:

18750

Explanation:

The recursive relation describes a geometric sequence with a first term of 6 and a common ratio of 5. The general term will be ...

an = 6·5^(n -1)

So, the 6th term will be ...

a6 = 6·5^(6-1) = 6·3125

a6 = 18750

User Milano
by
5.5k points