How to calculate implied forward rate

Yr Fwd Rate %

oy1y 1.9

1y1y 2.25

2y1y 3.5

3y1y 4.41

The 3 year implied spot rate is?

a) 2.55

b) 3.18

c) 4.41

Can someone please explain step by step how to get this?

Take a look at the articles I wrote on this:

The simple approximation is:

(1.9% + 2.25% + 3.5%) / 3 = 2.55%

Did I my knowledge, got 2.96

Was the answer A?

(1 + IFR)^3 = (1 + 0F1)(1 + 1F1)(1 + 2F1)

(1 + IFR)^3 = (1.019)(1.0225)(1.035)

(1 + IFR) = (1.078394963)^(1/3)

(1 + IFR) = 1.02547

IFR = 2.55%

or

(1.9 + 2.25 + 3.5)/3 = 2.55