Question

Manufacture of tv sets produce 600 set in the third year and 700 sets in the 17th year assuming that the production increase uniformly by a fixed number every year. Find

Answer 1

Let the number of sets produced in 1st year be 'a' and 'd' be the increase in production every year.

a+2d= 600 ----- (1)

a+6d= 700 ----- (2)

subtracting equation (1) from (2), we get

4d= 100 or d= 25

Substituting d=25 in equation (1), we get

a= 550

(a) Production in the first year =a = 550

(b) Production in 10th year = a+ 9d = 550+9 x25 =775

(c) Total production in first 7 years = a+ (a+d)+(a+2d)+.....+(a+6d)

7/2

(2*550 +(7-1)25)

4375