Question

a tv manufacturer produces 600 sets in 3rd year and 700 sets in the 7th year , if the production increases uniformly ,find a) production in 1st year,b) production in 10the year c) total production in first 7 years

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Answer 1

 Let 'a' be the first term and 'd' be the common difference of the A.P formed  

a3=a+2d=600.................(i) 

And a7=a+6d=700......(ii)

Solving equation (i) and (ii)

a=550 and d=5

(i) Production in the first year is 550 TV sets.

(ii) Production in the 10th year = a10=a+9d

=550+9(25)

=550+225

=775

(iii) Total production in 7 years = 

S7=27[2(550)+(7−1)25]

=4375.

Thus, the total production in 7 years if of 7375 TV

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