With this method, of $2800 is deducted the first year,
the second year, and so on, until is deducted the
fourth year. Both depreciation methods yield a total deduction
of $2800 over the 4 years. (Source: Sharp Electronics Corporation,
Conquering the Sciences.)
(a) Find an arithmetic sequence that gives the
amount depreciated each year by each method.
(b) Write a series whose sum is the amount depreciated
over 4 years by each method
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is this full question?
For tax purposes, businesses frequently
depreciate equipment. Two methods of depreciation are
straight-line depreciation and sum-of-the-years’-digits.
Suppose that a college student buys a $3000 computer to
start a business that provides Internet services. This student
estimates the life of the computer at 4 years, after
which its value will be $200. The difference between
$3000 and $200, or $2800, may be deducted from the student’s
taxable income over a 4-year period.
In straight-line depreciation, equal portions of $2800
are deducted each year over the 4 years. The sum-of-theyears’-
digits method calculates depreciation differently.
For a computer having a useful life of 4 years, the sum of
the years is computed by
1 + 2 + 3 +4 +5= 10.