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Arada [10]
3 years ago
11

On a number line what is the distance between -12 and 20

Mathematics
2 answers:
djverab [1.8K]3 years ago
7 0

Answer:

The distance is 32

Step-by-step explanation:

One way is to subtract -12 and 20, which equals 32.

Another way is to add 12 and 20 since distance on a number line is always positive, which equals 32.

Anarel [89]3 years ago
5 0

Answer:

32

Step-by-step explanation:

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find an equation for the nth term of the sequence. -3, -12, -48, -192, ... select one: a. an = 4 • -3n 1 b. an = -3 • 4n - 1 c.
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2 years ago
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PLEASE HELP.
OverLord2011 [107]

Answer:

Explicit formula for

1) a_n=17-3(n-1)

2) a_n=(\frac{1}{2} )^{n-1}\cdot 20

Step-by-step explanation:

W have to find the first few terms of the given sequence and then find an explicit equation

Explicit formula = f(n) + d(n-1) , where,

f(n) is first term,

d is common difference,

n-1 is one term less than the term number.

1)

Given : a_1=17\\\\a_{n+1}=a_n-3

\text{We put n =1, we get,}\\\\a_2=a_1-3=17-3=11=17-3(2-1)\\\\\\\text{We put n =2, we get,}\\\\\\a_3=a_2-3=11-3=8=17-3-3=17-3\cdot 2=17-3(3-1)\\\\\text{We put n =3, we get,}\\\\\\a_4=a_3-3=8-3=5=17-3-3-3=17-3\cdot 3=17-3(4-1)\\

Thus, we obtained an explicit formula,

a_n=17-3(n-1)

2)

Given : a_1=20\\\\a_{n+1}=\frac{1}{2} \cdot a_n

\text{We put n =1, we get,}\\\\a_2=a_1-3=17-3=11=17-3(2-1)\\\\\\\text{We put n =2, we get,}\\\\\\a_3=a_2-3=11-3=8=17-3-3=17-3\cdot 2=17-3(3-1)\\\\\text{We put n =3, we get,}\\\\\\a_4=a_3-3=8-3=5=17-3-3-3=17-3\cdot 3=17-3(4-1)\\

Thus, we obtained an explicit formula,

a_n=17-3(n-1)

\text{We put n =1, we get,}\\\\\\a_2=\frac{1}{2} \cdot a_1=\frac{1}{2} \cdot 20=10=(\frac{1}{2} )^{2-1}\cdot 20\\\\\\\text{We put n =3, we get,}\\\\\\a_4=\frac{1}{2} \cdot a_3=\frac{1}{2} \cdot 5=\frac{5}{2}=(\frac{1}{2} )^{4-1}\cdot 20\\\\\\

Thus, we obtained an explicit formula,

a_n=(\frac{1}{2} )^{n-1}\cdot 20

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3 years ago
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