Problem $11-10($Algo$)$

Required:

A pension plan is obligated to make disbursements of $$1\mathrm{.}2$ million, $$2\mathrm{.}2$ million, and $$1\mathrm{.}2$ million at the end of each the next the years, respectively. Find the duration of the plan's obligations if the interest rate is $10\%$ annually. $($Do not rourid intermediate calculations. Round your answer to $4$ decimal places.$)$

Duration

years