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Kipish [7]
4 years ago
12

What is the closed linear form for this sequence given a1 = -15 and an + 1 = an - 8?

Mathematics
2 answers:
Elza [17]4 years ago
7 0

Answer:

<h3>a_n=-8n-7 is the closed linear form of the given sequence.</h3>

Step-by-step explanation:

Given that a_1=-15 and a_{n+1}=a_n-8

<h3>To find the closed linear form for this given sequence :</h3>

So each of the successive term of the given sequence is decreases by 8

Therefore the common difference is -8

The given sequence is a arithmetic sequence.

The general form is a_n=a_1+(n-1)d

Substitute a_1=-15 and d=-8 in a_n=a_1+(n-1)d we get

a_n=-15+(n-1)(-8)

=-15-8n+8

a_n=-8n-7

<h3>Therefore a_n=-8n-7 is the closed linear form of the given sequence.</h3>

OlgaM077 [116]4 years ago
3 0

Answer:

c) an=-7+8n

Step-by-step explanation:

i got it wrong and it told me the right answer so ill make sure you guys don't get it wrong :3

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3 years ago
There were 80 boys and 95 girls on the middle school track team last year this year the number of boys increased by 15% well the
shutvik [7]

Answer:

E. 4% decrease

Step-by-step explanation:

To find out if we had an increase or a decrease, we will first need to set out variables.

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So last year we had a total of:

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This year we had an increase in the number of boys.

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Now since it's an increase, we add 1 to 0.15.

Total number of boys = 80 x (1.15)

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Then we had a decrease in the number of girls.

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Now we take the number of girls and multiply them by 0.20 and subtract the amount we get to the number of girls initially.

Total number of girls = 95 - (95 x 0.20)

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So all together we have:

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175 - 168 = 7

So we have 7 less members from last year.

Now we find how many percent 7 members is of 175 members.

Now we divide 7 by 175.

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Then we multiply 0.04 by 100 to get the percentage value.

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So since we know that we have less than the initial number of members, then it means that it is a decrease.

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4 years ago
Plz help me asap!!!!!!!!!!!
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The second one is it.
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