The production of TV sets in a factory increases uniformly by a fixed number every year. It produced 8000 sets in 6th year and 11300 in 9th year. The production in first year are 2500 sets, the production in 8th year are 10200 sets and the production in 6th year are 31500.

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Detailed Solution

nth term of an A.P:

Sum of n terms of an A.P is:

(i) In this A.P we have 6th and 9th terms,
For 6th term (year), n is 6,

(1)
For 9th term (year), n is 9,

(2)
Subtracting, we get:

On substituting the value of d in equation 1, we get,
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The first term which is the production in the first year is: 2500.
(ii) For 8th year (term), n is 8,
Production in 8th year is:

sets.
(iii) Total production in 6 years.
For 6 years, n is 6.
Sum of production in first 6 years is:

sets.

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