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Alenkinab [10]
3 years ago
8

A1=12−12,a2=23−13,a3=34−14,a4=45−15,a5=56−16. a1=12−12,a2=23−13,a3=34−14,a4=45−15,a5=56−16.

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
8 0
a_1=12-12=(1\times12-0)-(12+0)
a_2=23-13=(2\times12-1)-(12+1)
a_3=34-14=(3\times12-2)-(12+2)
a_4=45-15=(4\times12-3)-(12+3)
a_5=56-16=(5\times12-4)-(12+4)

Clearly, the general for the n-th term is

a_n=(12n-(n-1))-(12+n-1)=10n-10

(Aside: given the simple pattern, it's curious why the terms would be given the way they are. It's easier to divine 10n-10 from a_1=0,a_2=10,a_3=20,\ldots, but that's just my opinion.)

The sequence does not converge. As n\to\infty, so does a_n\to\infty.
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2. When there is a strong positive, how do the points look?
motikmotik

When there's a strong positive, the points are: B. Close together.

<h3>Strong Positive Relationship</h3>
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2 years ago
A cosmetics company makes three batches of a nail polish color called Purple Dusk using the recipe shown.
Ivanshal [37]

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Batch 1:- Red 2  ounces     Blue 1 1/2 ounces

Batch 2:-  Red 3     White  3 3/4 ounces.

Batch 3:- White  4 1/6      Blue  2 1/2 ounces.

Step-by-step explanation:

Batch 1

Amount of the white paint = 5/12 of the batch = 2 1/2  or 5/2 ounces.

5/12 is equivalent to 5/2 ounces of white paint.

1/12   ......................... 5/2 / 5 =  5/10 = 1/2 ounce.

Red paint.

!/3 of the product contains red paint which is 4/12 so this is 4 times 1/12 = 4 * 1/2 ounce   = 2 ounces of red paint.

Blue paint.

Similarly to the above amount of blue paint =  1/4 =3/12

= 3 * 1/2 = 1 1/2 ounces of  blue paint.

Batch 2.

We can calculate the missing quantities in a similar way to Batch 1.

Blue Paint =  3/12 of the product  = 2 1/4 ( = 9/4) ounces  so

1 /12 =

9/4 * 1/3 =  9/12 = 3/4 ounce

Red Paint:-  1/12 is equivalent to 3/4 ounce so

Amount of red paint = 4 * 3/4 = 3 ounces  (answer)

White paint = 5 * 3/4 =  15/4 = 3 3/4 ounces (answer)

Batch 3.

Red paint = 3 1/3 ounces is equivalent to  4/12 of the product.

So 1/12 = 10/3  / 4 = 10/12 = 5/6 ounces.

White paint = 5/6 * 5 = 4 1/6 ounces.

Blue paint = 5/6 * 3 = 15/6 = 2 1/2  ounces.




3 0
3 years ago
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