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A sequence is defined by the recursive function f(n 1) = f(n) – 2.if f(1) = 10, what is f(3)?16830

2 Answers

5 votes

Answer: f(3) =6

Explanation:

Given: A sequence is defined by the recursive function


f(n+1)=f(n)-2

f(1)= 10

Then f(2) can be written as


f(2)=f(1+1)\\\\\Rightarrow f(2)=f(1)-2\\\\\Rightarrow f(2)=10-2\\\\\Rightarrow f(2)=8

Similarly, f(3) can be written as


f(3)=f(2+1)\\\\\Rightarrow f(3)=f(2)-2\\\\\Rightarrow f(3)=8-2\\\\\Rightarrow f(3)=6

Therefore, the value of f(3) =6.

User Stephen Last
by
7.3k points
1 vote
Hello,

f(n+1)=f(n)-2
f(1)=10
f(2)=8
f(3)=6
...
User Justin Herrick
by
6.6k points