QUESTION 12Solve the problem.Suppose you wish to prove the statement that follows using mathematical induction.5 + 8 + 11 ++ (3n+ 2)(3n+ 7), for all positive integers n.Let S, be the statement 5+ 8+ 11 + ... + (3n+ 2):(3n+7). Show that S, is true.=Since (3(1) + 2) = 5, S, is true.Since (3(1) + 7) =(10) = 5, S, is true.2Since 5 + 8 = 13 ==(3(2)+ 7), S, is true.Since 5 +(3(1) + 2) =5(5 + 3(1) + 2), S, is true. QUESTION 9Solve the problem.Doctors in a certain city report 27 confirmed cases of the flu to the health department. Ifthe number of reported cases increases by roughly 35% each week thereafter, find thenumber of new cases reported 9 weeks after the initial report. Round to the nearest wholeunit.1005 cases1367 cases402 cases298 cases

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QUESTION 9 Solve the problem. Doctors in a certain city report 27 confirmed cases of the flu to the health department. If the number of reported cases increases by roughly 35% each week thereafter, find the number of new cases reported 9 weeks after the initial report. Round to the nearest whole unit. 1005 cases 1367 cases 402 cases 298 cases