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Svetlanka [38]
4 years ago
9

A geometric sequence is defined by the explicit formula an=5(-4)^n-1 what is the recursive formula for the nth term of this sequ

ence?
Mathematics
1 answer:
Furkat [3]4 years ago
4 0
Hello,

a_{n}=5*(-4)^{n-1}\\
 a_{n-1}=5*(-4)^{n-2}\\\\
\dfrac{a_{n}}{a_{n-1}}=(-4)^{n-1-(n-2)}=-4\\\\

Formula\ is\ :\\
 a_{n}=-4*a_{n-1}\\
a_{1}=5\\



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(question 4 only plz)
Hatshy [7]
#4
White block(s) = 2
Red block(s) = 1
Purple block(s) = 3
Total = 2 +1 + 3 = 6 blocks

a) P(white) = \frac{2}{6} = \frac{1}{3}
    P(red) = \frac{1}{6}
    P(purple) = \frac{3}{6} =  \frac{1}{2}

b)Not white block:
   1 - \frac{1}{3}   OR   \frac{1}{2} + \frac{1}{6}
    \frac{2}{3}                 \frac{2}{3}
Because, when they say no white blocks, we simply do not count them and add the rest to find that probability without white blocks.

c) The probability stays the same: lets say now we have
4 white blocks, 2 red, and 6 purple, total will be 12

P(white)=\frac{4}{12} which is still \frac{1}{3}

d) We get two more blocks in the numerator: lets say we have 4 white blocks, 3 red, 5 purple (after adding 2 of each color), total will be 12

P(purple)=\frac{5}{12}
(im not quite sure if my explanation here helps you though)

e) 1 more of white and purple, 5 more of red
  white = 3, purple = 4, red = 6, total = 12
(you can either add 2 to white or purple but make sure you add 5 of red)

P(red)=\frac{6}{12} = \frac{1}{2}
  


5 0
3 years ago
These marbles are placed in a bag and two of them are randomly drawn. What is the probability of drawing two pink marbles if the
Shalnov [3]

Answer:

2/10 * 2/10 = 1/25

Step-by-step explanation:

Suppose you have 10 marbles in a bag.

5 black , 2 pink and 3 blue

As if two pink marbles are selected then

for one pink marble

probability = event occurred / total outcomes

                 = 2/10

Similar probability for an other pink marbles

Probability for the drawing two pink marbles is

P = 2/10 * 2/10

 = 1/25

4 0
4 years ago
5x 4 1/2 Answer with a mixed number in simplest form.
nekit [7.7K]

Answer:

22 1/2

Step-by-step explanation:

5x4\frac{1}{2} =\frac{9}{2} x\frac{5}{1} = \frac{45}{2} = 22\frac{1}{2}

3 0
3 years ago
PLEASE HELPPPPL!!!
KiRa [710]

Answer:

(0,1) (0.333,0)

(7,0)

m=1

Step-by-step explanation:

4 0
3 years ago
What is the measure of XYZ​
lorasvet [3.4K]

Answer:

B

Step-by-step explanation:

The arc XZ is twice the measure of the inscribed angle XYZ , that is

arc XZ = 2 × 60° = 120°

The complete circumference = 360° , thus

arc XYZ = 360° - arc XZ = 360° - 120° = 240° → B

6 0
3 years ago
Read 2 more answers
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