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yaroslaw [1]
4 years ago
7

What is the next term in the sequence below? -324,108,-36,12,...

Mathematics
2 answers:
liq [111]4 years ago
5 0
This is a geometric sequence with a common ratio of -1/3 and an initial term of -324.  Any geometric sequence can be expressed as:
a(n)=ar^(n-1), in this case a=-324 and r=-1/3 so
a(n)=-324(-1/3)^(n-1)  so the 5th term will be
a(5)=-324(-1/3)^4
a(5)=-324/81
a(5)= -4
vesna_86 [32]4 years ago
3 0
The next term is the sequence is -4
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Answer is option C

Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.

time= \frac{k}{rate}

k is the constant of proportionality

We check with each option and identify which option gives us same K value

(a) 4 mph for 2.5 hours and 6 mph for 3.75 hours

2.5= \frac{k}{4} so k = 10

3.75= \frac{k}{6} so k = 22.5

K values are not same

(b) 3 mph for 2 hours and 4.5 mph for 3 hours

2= \frac{k}{3} so k = 6

3= \frac{k}{4.5} so k = 13.5

K values are not same

(c) 4 mph for 2.5 hours and 5 mph for 2 hours

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2= \frac{k}{5} so k =10

K values are  same .

Answer is option C


3 0
3 years ago
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Dahasolnce [82]

Step-by-step explanation:

The area, A, in square yards, of a rectangular garden, is given by the function.

A(x)=-2x^2+30x

We know that, the area of the rectangle is given by :

A=l\times b

Where l is length and b is breadth

A=-2x^2+30x\\\\A=2x\times (-x+15)

Length = 2x

Breadth = (15-x)

For zeoes,

2x\times (-x+15)=0\\\\x=15

Length = 15 yards

Breadth = (15-15) = 0 yards

Hence, this is the required solution.

4 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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tatyana61 [14]

Answer:

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Step-by-step explanation:

20n=5

n=5/20

n=1/4

therefore, it's 1/4

3 0
2 years ago
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Ganezh [65]

Answer:

A

Step-by-step explanation:

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1.01>0.99

So it's A

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3 years ago
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