Mary has an annual salary of Php150 000. If her employer gives her a 5% increase
each year, how much will her salary be after 5 years? How much will be her total
eamings in 5 years?
clue: it is geometric sequence
find the sum and the nth term
help po
each year, how much will her salary be after 5 years? How much will be her total
eamings in 5 years?
clue: it is geometric sequence
find the sum and the nth term
help po
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Step-by-step explanation:
Annual Salary :
year1=150,000
year2=150,000+150,000(0.05)
=150,000+7,500=157,500
A(n)=ar^n-1
a=150,000
r=157,500/150,000
=1.05
n=5
A(n)=150,000(1.05)^5-1
=150,000(1.05)⁴
=150,000(1.21550625)
=182,325.9375
S(n)=a(r^n-1)/r-1
=150,000(1.05⁴)/(1.05-1)
=150,000(1.21550625)/0.05
=3,646,518.75