Question

a manufacturer of sports goods produced 10000 hockey in the 5th year and 18000 in 9th year. Assuming that the production increases uniformly by a fixed number every year, find
(i) the production in the 12th year,
(ii) in which year the production will be 28000

Answer 1

a5 = 10000 ⇒ a+4d=10000 ----------- (1)

a9 = 18000 ⇒ a+8d=18000 ------------(2)

(2) - (1) ⇒ 4d=8000

        d=2000    and   a=2000

(i) Production in the 12th year, a12 = a+11d = 2000+11×2000

                                                         =2000+22000=24000

(ii) Let an = 28000

an=a+(n-1)d

28000=2000+(n-1)2000

26000/2000=n-1

n-1=13

n=14

∴In the 14th year, the production will be 28000

Answer 2

Answer:

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