# Real life salary scheme of IT graduates in geometric sequence.

1
by mariamoli

• Brainly User
2016-07-09T09:37:27+08:00
Example:

Ten new graduates of IT are employed by the leading telecommunication company in January 2016.  Their employment contract has a provision that after 6 months if they meet the requirements and performance level expected from them, they will be become regular employees and enjoy the perks and benefits given to regular employees.

Also after six months and every six succeeding months, their basic salary will be increased by 1.10 times.

So if x is the basic salary upon employment, it is the first term, a₁.  What will be the salary after 6 months?  after 12 months?

Let's say the basic salary upon employment is Php 10,000.

a₁ =salary upon employment, Php10,000
a₂ = salary after six months
a₃ = salary after 12 months
d = 1.10

General Formula:   = a₁

After 6 months, n=2:
a₂ = 10,000
a₂ = 10,000 (1.10)¹
a₂ = 11,000  (Salary after 6 months)

After 12 months, n=3:
a₃ = 10,000 (1.1)³⁻¹
a₃ = 10,000 (1.10)²
a₃ = 10,000 (1.21)
a₃ =  12,100  (salary after 12 months)

To write the salaries in sequence:

10,000,   11,000,   12,100

Why is it a geometric sequence? Check if the ratio is common.
11,000 ÷ 10,000 = 1.1
12,000 ÷ 11,000 = 1.1

Have a great day :-)
------------------------------

(ON A PERSONAL NOTE: If someone would report my solution as plagiarized, please be responsible enough to cite the website where I directly copied and pasted my solutions. Have respect on reliable users who help in the best way they can.  I am paid to prepare reviewers in Math, English, and Science and during my free time I help as volunteer, that is without pay, to help in my community especially students in public schools, and sites like Brainly.  although I am here as anonymous, I am also disappointed by young people here who thinks that just because they are also here anonymously, they can post offensive words to any user here. While the owners and admin of this site take time to address my complain as user and moderator, I hope that they protect the moderators who help this site to become one of the reliable homework help sites online.  Have a great day, everyone).
thank you
thank you
Thank You Very Much Po