Question

A sequence defined by f (1) = 3 and f (n) = 2 - f (n - 1) for n ≥ 2. Which of the following

statements defines the n' term of f?

Answer 1

None of these

Explanation:

See attached image

Answer 2

So

• f(n)=2.f(n-1)

Like that

f(2)

• 2.3=3×2¹

f(3)

• 2.2.3=3×2²

As you can see

It's an geometric progression

• first term=a=3
• common ratio =r=2

So the formula is

• f(n)=3.2^{n-1}

None of the above