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3 years ago

8. 29, 38, 47, 56, ...; 21st term

Mathematics

2 answers:

Aleksandr [31]3 years ago

6 0

Answer:

Tn=a+(n-1)d

Tn=29+(n-1)9

Tn=29+9n-9

Tn=20+9n

Tn=20+9 (21)

T21=580

Step-by-step explanation:

a=first term

d=common difference

Tn=a+(n-1)d .....general formula for an arithmetic number pattern

Crazy boy [7]3 years ago

3 0

Answer:

Step-by-step explanation:

I assume the 8 is the question number and the sequence is

29,38,47...

This is an arithmetic sequence as any term minus the previous term is a constant, called the common difference, which in this case is 47-38=38-29=9. An arithmetic sequence has the form

an=a+d(n-1)

Where an=nth term, a=initial term, d=common difference, and n=term number.

In this case a=29 and d=9 so

an=29+9(n-1)

an=9n+20, then the 21st term is

a(21)=9(21)+20

a(21)=189+20

a(21)=209

So the 21st term is 209.

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In preparation for the holiday season, Big Bird Co. decided to increase production of stuffed Bert characters by 30%.

marin [14]

Answer:

the additional characters will the factory creating per day is 105 characters

Step-by-step explanation:

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= Number of character produced × (1 + increased percentage)

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3 years ago

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nikklg [1K]

Answer:

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Galina-37 [17]

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3 years ago

Can someone help me? It's urgent and thank you!

-BARSIC- [3]

Given:

Number of red marbles = 5

Number of blue marbles = 4

Number of yellow marbles = 3

To find:

The probability of pulling a red marble, then pulling a blue marble, without replacement.

Solution:

Probability formula:

$\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}$

We have,

Number of red marbles = 5

Total number of marbles is:

$5+4+3=12$

Probability of getting a red marble is:

$P(Red)=\dfrac{5}{12}$

After selecting one red marble, the remaining number of marbles is 11 and the number of blue marbles is 3. So,

$P(Blue)=\dfrac{4}{11}$

Now, the probability of pulling a red marble, then pulling a blue marble, without replacement is:

$\text{Probability percentage}=P(Red)\times P(Blue)\times 100$

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5 0

3 years ago

This might be kinda stupid but am kinda confused

Alex

Answer:

3/4=9/12

2/3=8/12

9/12>8/12

4 0

3 years ago