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Romashka [77]
3 years ago
8

What is the explicit formula that represents the following sequence? {1,-6,36,-216...} A5

Mathematics
2 answers:
Andrew [12]3 years ago
8 0
N=#

-6(n)
I think this is the answer
ArbitrLikvidat [17]3 years ago
7 0
We see this a geometric sequcne because each term is -6 times of the previous term

an=a1(r)^(n-1)
an=nth term
a1=first term
r=common ratio
n=which term


we see that it multiplies by -6 each time
and the first term is 1

so r=-6
a1=1

an=1(-6)^(n-1)
the explicit formula is
a_n=1(-6)^{n-1}

and a5=1(-6)^(5-1)=1(-6)^4=1296
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The length of a rectangle is 6 more than twice its width. The
Whitepunk [10]

Answer:

The answer is option (C). The width of the rectangle=6 inches

Step-by-step explanation:

<em>Step 1: Determine the dimensions of the rectangle</em>

width=w

length=w+6

<em>Step 2: Determine the perimeter of the rectangle</em>

P=2(L+W)

where;

P=perimeter

L=length

W=width

In our case;

P=36 inches

L=w+6

w=w

replacing;

2(w+w+6)=36

2(2 w+6)=36

4 w+12=36

4 w=36-12=24

4 w=24

w=24/4=6

W=6 inches

L=6+6=12 inches

The width of the rectangle=6 inches

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tiny-mole [99]

Answer:

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Step-by-step explanation:

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