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beks73 [17]
3 years ago
10

What is the explicit formula for the sequence? -7,-4,-1,2,5

Mathematics
2 answers:
valentinak56 [21]3 years ago
8 0

Answer:

y = -7 + 3(n-1)

Step-by-step explanation:

The basic formula for an explicit formula is:

a_{n} = a_{1} + d(n-1)

The first term is clearly -7 and the common difference is 3 because each term is 3 more than the term before it:

a_{n} = -7 + 3(n-1)

Archy [21]3 years ago
5 0

an =a1+d(n-1)

a1=-7

d= -4--7=-4+7=3

an =-7+3(n-1)

or

an = -7+ 3n-3

an=-10+3n

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Can anyone help me plz?
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==================================================

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Find the 8th term for the series 2, 8, 32, 128, … <br> A. 8192<br> B. 16384<br> C. 6784<br> D. 32768
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Answer:

a. The y coordinates for A are either 10 or -14

b.  The y coordinates for A are either -11 or 7

Step-by-step explanation:

distance = sqrt ((x2-x1)^2+(y2-y1)^2)

We know Point B and the x coordinate of point A as well as the distance

15 = sqrt ((-4-5)^2+(-2-y1)^2)

15 = sqrt ((-9)^2+(-2-y1)^2)

15 = sqrt (81+(-2-y1)^2)

Square each side

15^2 =sqrt (81+(-2-y1)^2)^2

225 =  81+(-2-y1)^2

Subtract 81 from each side

225-81 = 81-81 +(-2-y1)^2

144 = (-2-y1)^2

Take the square root of each side

±sqrt 144 = sqrt(-2-y1)^2

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Add 2 to each side

2±12 = 2-2-y1

2±12 = -y1

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Multiply by -1

-14 = y1  or 10 = y1

The y coordinates for A are either 10 or -14

Now move B to -7,-2

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Square each side

15^2 =sqrt (144+(-2-y1)^2)^2

225 =  144+(-2-y1)^2

Subtract 144 from each side

225-144 = 144-144 +(-2-y1)^2

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Take the square root of each side

±sqrt 81 = sqrt(-2-y1)^2

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Add 2 to each side

2±9 = 2-2-y1

2±9 = -y1

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Multiply by -1

-11 = y1  or 7 = y1

The y coordinates for A are either -11 or 7

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