1.

A manufacturer of TV sets produced 600 sets in the third year and 700 sets in the seventh year. Assuming that the production increases uniformly by a fixed number every year, find :(i)         the production in the 1st year(ii)        the production in the 10th year(iii)       the total production in first 7 years

Answer» `a_3=600`
a+2d=600-(1)
`a_7=700`
a+6d=700-(2)
subtracting equation 2 from 1
4d=100
d=25
putting this value in 1
a=550
`a_10`=a+9d
=550+9(25)
=775
`S_n=n/2(a+l)`
=7/2(550+770)
=4375


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