Question

A sequence is defined recursively by the following rules:

f(1)=3
f(n+1)=2⋅f(n)−1

Which of the following statements is true about the sequence? SELECT ALL THAT APPLY!

A.) f(2)=5
B.) f(5)=33
C.) f(4)=18
D.) f(3)=10
E.) f(6)=66

Answer 1

Answer:

A) f(2) = 5

Step-by-step explanation:

Since we are given that:

f(1) = 3,

And,

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

Therefore, for n=1,

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

And we know f at 1 which is 3,

f(2) = 2(3)-1 = 5