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19 February, 23:05

A firm manufactured 1000 Tv sets during its first yeae the total firns production during 10 years of operation is 29035 sets If production increase in each year is uniform then estimate each year production increase

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  1. 19 February, 23:21
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    Answer: the increase each year is 423 tv sets

    Step-by-step explanation:

    The formula for determining the sum of n terms of an arithmetic sequence is expressed as

    Sn = n/2[2a + (n - 1) d]

    Where

    n represents the number of terms in the arithmetic sequence.

    d represents the common difference of the terms in the arithmetic sequence.

    a represents the first term of the arithmetic sequence.

    From the information given,

    n = 10 years

    a = 1000

    S10 = 29035

    We want to determine d which is the amount by which the production increased each year. Therefore, the sum of the first 10 years would be

    29035 = 10/2[2 * 1000 + (10 - 1) d]

    29035 = 5[2000 + 9d]

    29035/5 = [2000 + 9d]

    9d = 5807 - 2000 = 3807

    d = 3807/9 = 423
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