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3 years ago

Whats an explicit formula for 3 + 10 + 17 + 24 + ...

Mathematics

1 answer:

MrRa [10]3 years ago

6 0

7(x-1)+3 where x is how many numbers are being added together

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Find the equation of the linear function represented by the table below

Mariana [72]

Answer:

X-3=Y

Step-by-step explanation:

-3-3=-6

1-3=-2

5-3=2

9-3=6

4 0

3 years ago

Sports Report Organizer Explain Sport/Activity #1: Participate in the activity and write a complete paragraph about the sport yo

Anna35 [415]

Answer:Sport/Activity #1:_Soccer_

Step-by-step explanation:

Association football, more commonly known as football or soccer, is a team sport played with a spherical ball between two teams of 11 players. It is played by approximately 250 million players in over 200 countries and dependencies, making it the world's most popular sport.

7 0

3 years ago

CHECK MY ANSWERS ASAP

AlexFokin [52]

Question 1:

For this case we must rewrite the following equation:

$-3x + y = 5$

If we add 3x to both sides of the equation we have:

$y = 5 + 3x$

Thus, we have that an equivalent expression is option C.

Answer:

Option C

$y = 5 + 3x$

Question 2:

For this case we must solve the following equation:

$-5x + 5 = -40$

Subtracting 5 from both sides of the equation we have:

$-5x = -40-5\\-5x = -45$

Dividing between -5 on both sides of the equation we have:

$x = \frac {-45} {- 5}\\x = 9$

Answer:

Option B

7 0

3 years ago

Let an be the sum of the first n positive odd integers.

sesenic [268]

Answer:

A) The first 4 terms of the sequences are: $a_{1} =16$ , $a_{2} =24$ , $a_{3} =32$ and $a_{4} =40$ .

B) An explicit formula for this sequence can be written as: $a_{n} =8*(n+1)$

C) A recursive formula for this sequence can be written as:

$\left \{ {{a_{1} =16} \atop {a_{n} =a_{n-1}+8}} \right.$

Step-by-step explanation:

A) You can find the firs terms of this sequence simply selecting an odd integer and summing the consecutive 3 ones:

$a_{n} = Odd_{n}+Odd_{n+1}+Odd_{n+2}+Odd_{n+3}$ (a.1)

$a_{1}=1+3+5+7=16$

$a_{2}=3+5+7+9=24$

$a_{3}=5+7+9+11=32$

$a_{4}=7+9+11+13=40$

B) Observe the sequence of odd numbers 1, 3, 5, 7, 9, 11, 13(...).

You can express this sequence as:

$Odd_{n}=(2*n-1)$ (b.1)

If you merge the expression b.1 in a.1, you obtain the explicit formula of the sequence:

$a_{n} = Odd_{n}+Odd_{n+1}+Odd_{n+2}+Odd_{n+3}$ (a.1)

$a_{n} = (2*n-1)+((2*(n+1)-1))+((2*(n+2)-1))+((2*(n+3)-1))$ (b.2)

$a_{n} = 8*n+8$ (b.3)

$a_{n} =8*(n+1)$ (b.s)

C) The recursive formula has to be written considering an initial term and an N term linked with the previous term. You can see an addition of 8 between a term and the next one. So you can express each term as an addition of 8 with the previous one. Therefore, if the first term is 16:

$\left \{ {{a_{1} =16} \atop {a_{n} =a_{n-1}+8}} \right.$ (c.s)

5 0

3 years ago

What is 33 3/1 as a decimal and how do you change it to decimal?

Leto [7]

Decimal: 37

You leave 33 as it is since it is a whole number. Then you divide 3 ÷ 1 because the fraction is $\frac{3}{1}$ . 3 ÷ 1 = 3
33+3 = 37

#7 is your answer.

6 0

4 years ago