1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
solong [7]
3 years ago
12

Answer the questions attached about the given sequence: -33, -27, -21, -15, ...

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
7 0

Answer:

see below

Step-by-step explanation:

-33, -27, -21, -15,....

-33 +6 = -27  

-27+6 = -21

-21+6 = -15

This is an arithmetic sequence

The common difference is +6

explicit formula

an=a1+(n-1)d  where n is the term number and d is the common difference

an = -33 + ( n-1) 6

an = -33 +6n -6

an = -39+6n

recursive formula

an+1 = an +6

10th term

n =10

a10  = -39+6*10

      = -39+60

      =21

sum formula

see image

The sum will diverge since we are adding infinite numbers

You might be interested in
Which of the following amounts is greater than 4 yards? Select all that apply.
Bezzdna [24]

Answer:

is c

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A box contains four 10 nf and eight 100 nf capacitors. (a) what is the probability of obtaining at least two 10 nf capacitors if
grigory [225]

there are 4 of the 10-nf and 8 of the 100-nf capacitors which is a total of 12 items.

the probability of drawing a 10-nf is: 4 out of 12 = \frac{1}{3}

the probability of drawing a 100-nf is: 8 out of 12 =  \frac{2}{3}

(a)  "at least two" means: 2 or 3 or 4

Probability of 2 (10's) and 2 (100's):  \frac{1}{3} x \frac{1}{3} x \frac{2}{3} x \frac{2}{3} = \frac{4}{81}

Probability of 3 (10's) and 1 (100's):  \frac{1}{3} x \frac{1}{3} x \frac{1}{3} x \frac{2}{3} = \frac{2}{81}

Probability of 4 (10's) and 0 (100's):  \frac{1}{3} x \frac{1}{3} x \frac{1}{3} x \frac{1}{3} = \frac{1}{81}

2 or 3 or 4: \frac{4}{81} + \frac{2}{81} + \frac{1}{81} = \frac{7}{81}

(b) without replacement

Probability of 2 (10's) and 2 (100's):  \frac{4}{12} x \frac{3}{11} x \frac{8}{10} x \frac{7}{9} = \frac{4 x 3 x 8 x 7}{12 x 11 x 10 x 9}

Probability of 3 (10's) and 1 (100's):  \frac{4}{12} x \frac{3}{11} x \frac{2}{10} x \frac{8}{9} = \frac{4 x 3 x 2 x 8}{12 x 11 x 10 x 9}

Probability of 4 (10's) and 0 (100's):  \frac{4}{12} x \frac{3}{11} x \frac{2}{10} x \frac{1}{9} = \frac{4 x 3 x 2 x 1}{12 x 11 x 10 x 9}

2 or 3 or 4: \frac{4 x 3 x 8 x 7}{12 x 11 x 10 x 9} + \frac{4 x 3 x 2 x 8}{12 x 11 x 10 x 9} + \frac{4 x 3 x 2 x 1}{12 x 11 x 10 x 9} = \frac{672 + 192 + 24}{12 x 11 x 10 x 9} =  \frac{888}{12 x 11 x 10 x 9}  =  \frac{111}{1485}


8 0
3 years ago
Read 2 more answers
Two sides of a triangle have the same length. The third side measures 3 m less than twice the common length. The perimeter of th
Ksivusya [100]

Answer:

4m, 4m, and 5 m

Step-by-step explanation:

From the information give;

  • Two sides of a triangle are equal in length
  • The third side is 3 m less than the common length
  • Perimeter of the rectangle is 13 m

We are required to determine the dimensions of the triangle;

  • Assuming the common sides are x m each
  • Then, the third side will be (2x-3) m
  • Perimeter of a triangle is equal to the sum of the lengths of the three sides

Therefore;

(2x-3) + x + x = 13 m

4x - 3 = 13m

4x = 16 m

x = 4 m

and, 2x-3 = 5 m

Therefore, the lengths of the three sides of the triangle are 4m, 4m, and 5 m

3 0
3 years ago
14. A unfair coin has the probability of heads
Hitman42 [59]

Answer :

the probability of tossing three heads in a row

=\left( \frac{3}{8} \right)^{3}  =\frac{27}{512} =0.052734375

…………………………………………

the probability of tossing two heads followed by one tail

=\left( \frac{3}{8} \right)^{2}  \times \left( \frac{5}{8} \right)  =\frac{45}{512}

……………………………

the probability of two heads and one tail in any order

=3\times \left( \frac{3}{8} \right)^{2}  \times \left( \frac{5}{8} \right)  =\frac{135}{512}

3 0
2 years ago
If 1 kilogram = 2.206 pounds , how many pounds are in a gram
dimaraw [331]

Answer:

0.002206 pounds in a gram

Step-by-step explanation:

2.206/1000 = 0.002206

5 0
3 years ago
Other questions:
  • What is this I don’t know lol help me
    13·1 answer
  • I do not know how to do this question?
    9·2 answers
  • A recipe calls for 2 3/4 cups of milk. if the recipe is tripled, how much milk is needed?
    12·1 answer
  • One of two numbers is five more than other. the sum of the numbers is 17 find the numbers
    11·1 answer
  • What is the solution to this system of linear equations?
    15·1 answer
  • The area of rectangle is 1936m sq. if the length is 4 times its breadth. find the dimension of the rectangle.
    5·1 answer
  • May I get some help with number 12 please?
    5·1 answer
  • Jolene bought a savings certificate that earned 2% in simple interest per year. She earned a total of $240 in interest over four
    5·2 answers
  • James has 21 cups of flour. He will pour the flour equally into 4 containers. How many cups of flour will be in each container?
    7·2 answers
  • The temperature at 9 p.m. was 12°F. The temperature dropped 15°F by 5 a.m.The temperature at 5 a.m. was
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!