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3 years ago

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The first term of a geometric sequence is 3 and the multiplier, or ratio, is 2. What is the sum of the first 6 terms of the sequ

ence?
A. 6
B. 9
C. 216
D. 189

1 answer:

SIZIF [17.4K]3 years ago

8 0

I. 3*2^0
II. 3*2^1
III 3*2^2
IV. 3*2^3
V. 3*2^4
VI. 3*2^5
The sum 3*(2^0+2^1+2^2+2^3+2^4+2^5)=3*(2^6-1)=3*(64-1)=3*63=189
D is the answer

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3 years ago

Monyne Phillips three coins. What is the probability that the first second and third Cornwall in the same way (either all heads

nasty-shy [4]

Answer:

1 in 8 chance.

Step-by-step explanation:

When a coin flips is has two outcomes: heads or tails, obviously.

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1 coin: 2 outcomes

2 coins: 4 outcomes

3 coins: 8 outcomes

Another thing:

Don't be fooled by questions being specific by saying "all heads" or "all tails"...

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2 years ago

How did the graph of f(x) = x^2 and g(x) = 3/4 x^2 relate?

nirvana33 [79]

g(x) = $\frac{3}{4} f(x)$ or g(x) is 3/4 times of f(x) , F(x) and g(x) have common solution or intersecting point in the graph parabola at x=0 i.e. in origin and x = $\frac {4}{3}$ .

<u>Step-by-step explanation:</u>

We have a function f(x) = $x^{2}$ and another function , g(x) = $\frac{3}{4} x^{2}$ . In the graph of y = $x^{2}$ , the point (0, 0) is called the vertex. The vertex is the minimum point in a parabola that opens upward. In a parabola that opens downward, the vertex is the maximum point.

Graphing y = (x - h)2 + k , where h = 0 & k = 0

Function g(x) can be formed with compression in function f(x) by a factor of 3/4 , i.e. g(x) = $\frac{3}{4} f(x)$ or g(x) is 3/4 times of f(x).Domain and range of f(x) and g(x) are same ! Although structure of both functions is same the only difference is g(x) is compressed vertically by a factor 3/4. Both are graph of a parabola with vertex at (0,0). Also, F(x) and g(x) have common solution or intersecting point at x=0 i.e. in origin.

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3 years ago