Question

John initial annual salary was RM 2800. The company offers him a rise in salary of RM 120 cash each year. Find

a)John's salary on the 5th year of service
b)The total salary he earned in the first 5 years
c)The amount of the yearly increments such that he will receive a total salary of RM 37000 after 10 years of services

sequence topic can someone help me?​

Answer 1

a) 3280 b) 15200 c)200

Explanation:

a) a1=2800 d= 120

Find a5- the salary on the 5-th year

a5= 2800+120(5-1)= 2800+480= 3280

b)a1+a2+a3+a4+a5= a1+a1+d+a1+2d+a1+3d+a1+4d= 5a1+10d=5*2800+1200=14000+1200=15200.

c) We don't know the increments, but we know the first salary is 2800, a1=2800

S10=37000

n=10

(2a1+d(n-1))/2*n=Sn

(2*2800+9d)/2*10=37000

5600+9d=7400

9d=1800

d=200- the yearly increments