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Mr. Lutta's salary is sh. 42,000 per annum and increases by 13% each year. Calculate his total earnings after 15 years, rounded to the nearest thousands.

Mathematics

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The initial salary of Mr. Lutta is sh. 42,000 per annum. His salary increases by 13% each year. Determine his total earnings after 15 years. Give your answer to the nearest thousands.

  1. Identify the type of progression.

    This is a geometric progression where the initial salary is the first term (AA), and the annual increase of 13% means the common ratio (rr) is 1+0.13=1.131 + 0.13 = 1.13. The number of years (nn) is 15.
    We need to find the sum of the first 15 terms (S15S_{15}).

  2. Step 2

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