p.s" tell me if it is a geometric sequence or arithmetic and find the explicit formula
The amount of money that remained from Takuya's presence during month n is expressed as an=120-20n and the sequence is an arithmetic sequence.
The arithmetic sequence is the sequence where the common difference remains constant between any two successive terms. Let us recall what is a sequence. A sequence is a collection of numbers that follow a pattern. The general form of an arithmetic sequence is an=a+(n-1)d.
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 keeps 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
Since the amount keeps reducing by the same value i.e $20, then the sequence formed is an arithmetic sequence.
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; an=100+(n-1)(-20)
⇒an=100+(-20n+20)
⇒an=100-20n+20
⇒an=120-20n
Therefore, the amount of money that remained from Takuya's presence during month n is expressed as an=120-20n and the sequence is an arithmetic sequence.
To learn more about an arithmetic sequence visit:
brainly.com/question/12108818.
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Answer: I did it on khan well, it is arithmetic sequence the answer is not right
The first answer is 100
The second answer is -20
I know no one reads the step by step explanation but what khan said is kinda un read able so I can’t do a step-by-step
b) how many times the amount of butter is the amount of sugar?
Answer:
(a ) 1.25 times.
(b) 0.8 times.
Step-by-step explanation:
We have been given that Joseph uses 30 grams of sugar and 24 grams of butter.
(a) To find the amount of sugar is how many times the amount of butter, we need to find 30 is what part of 24.
Therefore, the amount of sugar is 1.25 times the amount of butter.
(b) To find the amount of butter is how many times the amount of sugar, we need to find 24 is what part of 30.
Therefore, the amount of butter is 0.8 times the amount of sugar.
Answer:
check step by step
Step-by-step explanation:
A) 30 divided by 24
B) 24 divided by 30