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Examples of Arithmetic Sequence in a Real Life Situation
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Group 5
Examples of Arithmetic Sequence in a Real Life Situation
Problem 1
Kircher is practicing her dance steps for the competition.She starts practicing the steps for 1 hour on the first day and then increases the practice time by 10 minutes each day.If the pattern continues, how many minutes will she spend practicing on the 7th day?
Given
Solution
Therefore she will spend 61 minutes on 7th day
Problem 2
Fern 50 takes selfies in an hour, and 20 additional selfies in the next hour.How many selfies will she take if she will continue taking selfie in 3 hours.
Given
Solution
Therefore she takes 107 selfies in 3 hours.
Problem 3
Tina bought a new kitchen appliance. She made an initial payment of P1ooo.oo and paid the remaining amount in 5 monthly installments. If she pays P800.oo each month and does not need to pay any interest, what is the cost of the kitchen appliance?
Given
Solution
Therefore the cost of the appliance is P2200.oo
A
=
a
)d
1
+(n-
1
A
1+(7-1)1o
=
7
= 50 selfies
A
1
1+(6)10
A
=
7
A
= 1+60
n= 20 additional selfies
7
1
A
=
hour
A
1
7
=61
d=3 hours
n=7th day
d=10 minutes
An
= a
+(n-1)d
1
=50+(20-1)3
A
20
=50+(19)3
=50+57
=107
A
1
=P 1000.o0 initial payment
n= 5 months
d=P 800.00 she paid
A
=
a
n
1
+(n-1)d
A
=1000+(5-1)800
5
=1ooo+(4)800
=1000+1200
=2200
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