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Hitman42 [59]
2 years ago
12

What is the recursive formula for this geometric sequence? 4, -12, 36, -108, ...

Mathematics
2 answers:
mr Goodwill [35]2 years ago
6 0

Answer: C

\left \{ {{a_{1}=4 } \atop {a_{n}=a_{n-1}*(-3)  }} \right.

Step-by-step explanation:

The starting amount (a1) = 4

The rate is -3 because 4 * -3 = 12 and -12 and -12 * -3 = 36 etc.

Tasya [4]2 years ago
5 0

Answer: C.

Step-by-step explanation:

The first number is a positive 4, which is your a1. Then the geometric sequence goes to a negative implying that it is multiplied by a negative. So the a1 = 4 and it is being multiplied by a negative 3.

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Consider the line y=1 x -1 and the point P=(2,0).
Montano1993 [528]

Answer:

Step-by-step explanation:

d(x)=√((x-2)2+(y-0)²)

=√((x-2)²+y²)

=√((x-2)²+(x-1)²)

=√(x²-4x+4+x²-2x+1)

=√(2x²-6x+5)

D=d²(x)=2x²-6x+5

b.\\\frac{dD}{dx}=4x-6\\\frac{dD}{dx}=0,gives \\4x-6=0\\x=\frac{3}{2}\\\frac{d^2D}{dx^2}=4 >0 at x=\frac{3}{2}\\so~D~or~d^2~or~d~is~minimum~at~x=\frac{3}{2}\\so~y=1(\frac{3}{2} )-1=1/2=0.5\\so~nearest~point~is~(1.5,0.5)

8 0
3 years ago
For which operations is the set {0, 1} closed?
velikii [3]
0 × <span>0 = 0
0 </span>× <span>1 = 0
1 </span>× <span>1 = 1

Which means multiplication is closed under {0, 1}

</span><span>1 </span>÷ <span>1 = 1
0 </span>÷ <span>1 = 0
</span>
Division is not closed under {0, 1}

1 + 1 = 2

Addition is not closed under {0, 1}

0 - 1 = -1

Subtraction is not closed under {0, 1} either



So it's only A. Multiplication which is closed under {0, 1}
5 0
3 years ago
Solve the system of equations:<br> y = x + 2<br> y = x2 + 5x + 6<br> HELP PLZ
soldier1979 [14.2K]

Answer:

x=2(twice)

y=0(twice)

Step-by-step explanation:

This question can be solved using substitution method

So let's solve

y=x+2....(1)

y=x2+5x+6....(2)

Substitute (1) into(2)

X+2=x2+5x+6

Collect like terms

X2+5x-x+6-2=0

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Substrate 2 from both sides

X=-2

X+2=0

X=-2

Let's substitute the value of x into (1)

y=x+2

y=-2+2

Y=0(twice)

6 0
3 years ago
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