The circle graph below shows the colors of flowers in a garden
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Answer:
The amount of money that remained from Takuya's present during month n is expressed as and the sequence is an ARITHMETIC SEQUENCE.
Step-by-step explanation:
If Takuya's parents gave him $100 as a birthday gift and she spent $20 each month on board games until his money ran out, this means he keeps spending $20 every month and his money keep reducing by the same amount each month until his money ran out, the following can be inferred;
initial amount = $100
If he spends $20 each month,
balance at the end of 1st month = $100-$20 = $80
balance at the end of 2nd month = $80-$20 = $60
balance at the end of 3rd month = $60-$20 = $40 and so on
The sequence formed by his balances is $100, $80, $60, $40...
Since the amount keep reducing by the same value i.e $20, then the sequence formed is an ARITHMETIC SEQUENCE.
The nth term of an arithmetic sequence is expressed as Tn =
a is the first term of the sequence = 100
d is the common difference = 80-100 = 60-80 = 40-60 = 20
n is the number of terms
Substituting the given values in the formula we have;
Tn =
The amount of money that remained from Takuya's present during month n is expressed as and the sequence formed is an ARITHMETIC SEQUENCE