Question

Alberto is considering taking a job with a company where the sequence {$50,000; $50,700; $51,400; $52,100; $52,800} represents the salary schedule for the first five years of employment. If the pattern continues, what can Alberto expect to earn in his sixth year of employment?

Answer 1

His salery grows by 700 per year, as you can see. This can be represented as
`700x+50000`, where 50,000 represents the starting wage, 700 represents the annual increase, and
`x` represents the year (starting from 0). So, if you want to know his wage in his sixth year of employment, simply substitute 5 for
`x`. Note that
`x` is the number of years minus one. As a result, the answer is
`700(5)+50000=53500`.

Answer 2

$53,500 is the answer.

Explanation:

The question is an Arithmetic Progression of common difference (d) = 700

a₁ = $50,000

a₂ = $50,700

d = $700

sixth year can be written as,

a₆ = a + 5d

a₆ = 50,000 + 5 × 700

a₆ = 50,000 + 3,500

a₆ = 53,500

therefore, Alberto will earn $53,500 in his sixth year of employment.