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Troyanec [42]
3 years ago
10

What is the sum of the geometric sequence -4,24,-144...if there are 8 term? A.-959,781 B. 29,637 C. 26,661 D. 959,780 PLEASE HEL

P
Mathematics
2 answers:
Serggg [28]3 years ago
7 0
It is d because I know it guys trust me it is easy.

iogann1982 [59]3 years ago
6 0

Answer:

The sum of 8 terms of series is 959,780

D is correct

Step-by-step explanation:

Given: -4, 24, -144, ......

There are 8 terms.

We need to find the sum of 8 terms.

First term, a=-4

Common ratio, r=-6

a_n=-4\cdot(-6)^{n-1}

Sum of 8 term

Sum=a_1+a_2+a_3+a_4+a_5+a_6+a_7+a_8

Sum=\sum_{n=1}^{8}a_n

Sum=-4+24-144+864-5184+31104-186624+1119744

Sum=959,780

Hence, The sum of 8 terms of series is 959,780

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Eight identical slips of paper, each containing one number from one to eight, inclusive, are mixed up inside a bag. Subset A of
DochEvi [55]

Answer:  The correct option is (C) A = {1, 2, 3, 4, 5, 7, 8}.

Step-by-step explanation: Given that eight identical slips of paper, each containing one number from one to eight, inclusive, are mixed up inside a bag.

The sample space, S will be

S = {1, 2, 3, 4, 5, 6, 7, 8}.

Subset A of the sample space represents the complement of the event in which the number 6 is drawn from the bag.

Let, 'B' represents the event in which the number 6 is drawn from the bag.

So, B = {6}.

Since 'A' is the complement of 'B', so the set 'A' will contain those element of the sample space 'S' that are not in the set 'B'.

Therefore,

A = B' = {1, 2, 3, 4, 5, 7, 8}

⇒ A = {1, 2, 3, 4, 5, 7, 8}.

Thus, (C) is the correct option.

7 0
3 years ago
Read 2 more answers
NEED ANSWER ASAP PLEASEEE!!
Leya [2.2K]

Answer:

ST=26

Step-by-step explanation:

RS+ST=RT

17+x+16=4x+3

x+33=4x+3

33-3=4x=x

3x=30

x=30/3

x=10

ST=x+16

ST=10+16

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7 0
3 years ago
A certain bacteria culture grows at a rate of 18% everyday. There are currently 420 bacteria. How many bacteria will there be on
spayn [35]

In this question, it is given that

A certain bacteria culture grows at a rate of 18% everyday. There are currently 420 bacteria.

And we have to find number of bacterias on day *.

For that we use the following formula

N(t) =N_{0} (1 +r)^t

N(0)= 420, r = 0.18 , and \ t = 8days

Substituting these values in the formula, we will get

N(8)= 420(1+0.18)^8
\\
N(8)=1579

THerefore on day 8, number of bacterias are 1579.

4 0
3 years ago
Read 2 more answers
A1,a2,a3....a30-each of these 30 sets has 5 elements.b1,b2,....bn-each of these n sets has 3 elements.union of a1,a2...a30=union
zzz [600]
 the number of elements in the union of the A sets is:5(30)−rAwhere r is the number of repeats.Likewise the number of elements in the B sets is:3n−rB
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Now, to figure out what x is, we need to use the fact that the union of a group of sets contains every member of each set.  if every element in S is repeated 10 times, that means every element in the union of the A's is repeated 10 times.  This means that:150 /10=15is the number of elements in the the A's without repeats counted (same for the Bs as well).So now we have:50−15 /3=n⟺n=45
5 0
3 years ago
The table below gives data from a linear function. find a formula for the function.
baherus [9]
Given the following table that gives data from a linear function:

\begin {tabular}
{|c|c|c|c|}
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\end {tabular}

The formular for the function can be obtained by choosing two points from the table and using the formular for the equation of a straight line.

Recall that the equation of a straight line is given by
\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}

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4 0
3 years ago
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