Solve Corey's Arithmetic Sequence Homework

AI Thread Summary
Corey's arithmetic sequence homework involves calculating his salary after six years and the total earnings over that period. For part (a), the sixth-year salary is determined using the formula a6 = 26000 + (6 - 1) * 1250, resulting in a salary of $33,250. For part (b), the total earnings after six years can be calculated using the sum formula S6 = 6/2 * (26000 + a6), leading to a total of $199,500. The calculations demonstrate the application of arithmetic sequence formulas to solve real-world salary scenarios. Accurate computation of these values is essential for understanding Corey's financial growth over time.
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Homework Statement



Corey has take a job with an initial salary of $26,000 an annual raises of $1,250/

(a) What will his salary be in the 6th year?

(b) How much money in total will Corey have earned after six years?

Homework Equations



an = a1 + (n - 1) d

Sn = n / 2 (a1 + an)

The Attempt at a Solution



(a) a6 = 26000 + (6 - 1) 1250

(b) S6 = 6/2 (26000 + 1250)
 
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priscilla89 said:

The Attempt at a Solution



(a) a6 = 26000 + (6 - 1) 1250

(b) S6 = 6/2 (26000 + 1250)


You need to compute a6 to get S6 such that

S6=6/2(26000+a6)
 
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