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natka813 [3]
3 years ago
6

Which choice is the explicit formula for the following geometric sequence

Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
7 0
Hello,

2/10,-6/100,18/1000,-54/10000,162/100000;...


a(n+1)/a(n)=-3/10
a(0)=2/10*1

a(n)=2/10* (-3/10)^(n-1)

Answer B
AURORKA [14]3 years ago
3 0

Answer:

B: a_n= 0.2(-0.3)^{n-1}

Step-by-step explanation:

Geometric sequence

0.2, -0.06, 0.018,-0.0054,0.00162....

General explicit formula  is a_n= a_1(r)^{n-1}

Where r is the common ratio and a1 is the first term

a1 is 0.2 (first term)

we need to find out common ratio 'r'

To find 'r' divide second term by first term

\frac{-0.06}{0.2} =-0.3

Plug in the values in the general formula

a_n= a_1(r)^{n-1}

a_n= 0.2(-0.3)^{n-1}

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Mickey keeps picking playing cards out of a standard deck of 52 cards, hoping that she will
andrew-mc [135]

Answer:

03%

Step-by-step explanation:

In this situation Mickey should have drew first 7 cards that are not diamond and then on the 8th attempt she should draw an ace.

Let A be the event of drawing 7 cards which are not diamond and B the event of drawing an ace card. therefore required probability is P(A∩B)=P(A)*P(B)

Now, there are 13 diamonds and 39 other cards. Hence,

P(A)=(\frac{39}{52})⁷=0.1335

After drawing 7 non-diamond cards, the 8th card must be a diamond.Hence,

P(B)=\frac{13}{52}=0.25

Hence, P(A∩B)=P(A)*P(B)=0.1335*0.25=0.033(approximately 0.03,i.e. 3%)

Therefore probability that Mickey will draw her first diamond on the 8th

attempt is 3%

7 0
3 years ago
Use the remainder theorem to divide 5x^2+9x-2 by x+3. What is the remainder
marishachu [46]

Answer:

16

Step-by-step explanation:

Given

f(x)=5x^2+9x-2

Remainder theorem states that when f(x) is divided by x-a then the remainder can be calculated by calculating f(a).

Now Using the remainder theorem to divide 5x^2+9x-2 by x+3 to find the remainder:

f(x)=5x^2+9x-2

f(-3) = 5(-3)^2 +9(-3) -2

       =5(9) - 27 -2

       = 45-29

        = 16 !

7 0
2 years ago
Read 2 more answers
What is the decimal that is equivalent to the expression 3 * 100 + 7 * 10 + 4 * 1 + 6 * 0.01 + 1 * 0.001
barxatty [35]
I believe it is 0.0318
5 0
2 years ago
PLEASE ANSWER ILL GIVE CROWN TO RIGHT ANSWERR
nikdorinn [45]

Answer:

A

Step-by-step explanation:

3 0
3 years ago
40 POINTS!!!!<br> what is the coordinates of x+y=6?
il63 [147K]
Here, your equation is x + y = 6

In order to calculate coordinates, put x = 0, 
0 + y = 6, 
y = 6

Now, put y = 0, x + 0 = 6
x = 6

So, Your Coordinates would be: (0, 6) & (6, 0)

Hope this helps!
4 0
3 years ago
Read 2 more answers
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