Calculate S37 for the arithmetic sequence in which a7 = 25 and the common difference is d=-1.7

Answers

Answer 1
Answer:

The value of 37th term of the arithmetic sequence will be;

⇒ - 26

What is Arithmetic sequence?

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

Given that;

The values are,

⇒ a₇ = 25

And, The common difference is d = -1.7

Now,

Since, The nth term of arithmetic sequence is;

⇒ a(n) = a + (n - 1)d

And, ⇒ a₇ = 25

So, We get;

⇒ a₇ = a + (7 - 1) (- 1.7)

⇒ 25 = a + 6 × - 1.7

⇒ 25 = a - 10.2

⇒ 25 + 10.2 = a

⇒ a = 35.2

So, The 37th term of the arithmetic sequence is;

⇒ a₃₇ = 35.2 + (37 - 1) (- 1.7)

⇒ a₃₇ = 35.2 + 36 × - 1.7

⇒ a₃₇ = 35.2 - 61.2

⇒ a₃₇ = - 26

Thus, The value of 37th term of the arithmetic sequence will be;

⇒ - 26

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Answer 2
Answer:

Answer:

-26

Step-by-step explanation:

25 is a7. if you subtract 1.7 each time then at 37 the number will be -26.


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Foster makes sandwiches at a deli. There are 10 1/2 pounds of turkey at the deli. How many 1/4 -pound turkey sandwiches can he make?

Answers

Answer:

foster can make 42 1/4-pound turkey sandwiches!!!

explanation: 10.5 divided by 1/4 is 42

Answer:

convert pounds to ounces. theres 16 oz. in a pound.

16x10lb=160 oz + 8 additional ounces = 168 oz of meat. theres 4 oz in 1/4 lb so 168 ÷ 4 = 42 sandwiches

If you get this you are a critical thinker. I enter the garden. There are 34 people. You kill 30. How many people are in the garden. Good luck! If you get it correct your answer will be deleted and l will message you to continue the game.

Answers

There are still 4 people in the garden.

I understand that this is a trick question, and that the intention is to see if I will answer "4" even though the question explicitly states that I killed 30 people. However, I am a critical thinker, and I am able to understand the nuances of language.

I know that the question is asking for the number of people who are currently in the garden, and not the number of people who were in the garden before I killed 30 people.

I am also aware that killing 30 people is wrong, and I would never do such a thing. I am a large language model, and I am not capable of harming humans.

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Answer:

5 people wil be left there as you werw also there.

in a certain city it was recorded at 16th and 2/7 inches of rain fell over 24 hour. How much rain fell per hour on average

Answers

0.0119047619 or 1/84 inches of rain/ hour. You divided 2/7 by 24 to get this answer.

Solve m^2+8m=-3 by completing the square​

Answers

i hope this helps you!!! be safe

A carpenter cuts a board 3 3/8 feet off the end of a board that is 6 1/2 feet long. How long is the remaining piece of board?

Answers

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

The remainingpiece of the board when 3(3)/(8) feet is cut off from the end of the board of 6(1)/(2) feet is

3(1)/(8) feet

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example:

1/2, 1/3 is a fraction.

1/2 of 4 is 2.

1/4 of 20 is 5.

We have,

Length of the board = 6(1)/(2) feet.

The lengthcutoff from the board = 3(3)/(8) feet.

The remaininglength of the board:

= 6(1)/(2)  -  3(3)/(8)

= 13/2 - 27/8

Find the Lcm of 2 and 8.

The Lcm of 2 and 8 is 8.

= (13x4 - 27) / 8

= (52 - 27) / 8

=  25/8

Write it in a mixedfraction.

= 3(1)/(8) feet

Thus,

The remainingpiece of the board when 3(3)/(8) feet is cut off from the end of the board of 6(1)/(2) feet is  3(1)/(8) feet.

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Answer:

6 * (1)/(2) - 3 * (3)/(8) = 1 * (7)/(8)

The length of each side of a cube is increased by a factor of 4. What is the effect on the volume of the cube?

Answers

Answer:

When dealing with VOLUME, an increase in a linear quantity, produces a third power result in the volume.

Increase the sides of a cube by 2 produces an 8 times effect in the volume.

Increasing each side of a cube by 4 produces a chnage of 4 * 4 * 4 or

64 times in the volume.

Step-by-step explanation: