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Katena32 [7]
2 years ago
8

Write an equation for the n th term of the arithmetic sequence -4, 1, 6, 11 ... Then find a(50)

Mathematics
1 answer:
gayaneshka [121]2 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 4 and d = a₂ - a₁ = 1 - (- 4) = 1 + 4 = 5 , thus

a_{n} = - 4 + 5(n - 1) = - 4 + 5n - 5 = 5n - 9

Then

a(50) = 5(50) - 9 = 250 - 9 = 241

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lutik1710 [3]

Answer:

15840 is to a foot




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2 years ago
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A point M on a segment with endpoints X (1, −2) and Y (10, 3) partitions the segment in a 5:1 ratio. Find M. You must show all w
bezimeni [28]

The coordinate for the point M is (51/6, 13/6) if the point M on a segment with endpoints X (1, -2) and Y (10, 3) partitions the segment in a 5:1 ratio.

<h3>How to explain the information?</h3>

We have a line segment: XY with end coordinates X(1, -2) and Y(10, 3)

The coordinate for the point M:

x = (1+50)/6 = 51/6

y = (-2+15)/6 =  13/6

Thus, the coordinate for the point M is (51/6, 13/6) if the point M on a segment with endpoints X (1, -2) and Y (10, 3) partitions the segment in a 5:1 ratio.

Learn more about the segment here:

brainly.com/question/2437195

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6 0
2 years ago
Jill earns a yearly salary of $40,000 plus 15% commission on total sales. Shonda earns $55,000 yearly salary plus 10% commission
mixer [17]

Answer: Jill earned $22,500

Step-by-step explanation:

J - S = $152,500 - $130,000 = $22,500

7 0
2 years ago
Solve the following question
emmasim [6.3K]

Answer:

16 and 4

Step-by-step explanation:

Let (x+y) =20 and (x-y)=12 then:

Isolate for x in each equation

   x=20-y and x=12+y

Set the equations to equal each other since the value of x should be the same for both

   20-y = 12+y

Rearrange so that y is on one side and the numbers are on the other

   8 = 2y

   y= 8/2

   y= 4

Now  substitute the y- value back into either of the original equations

   x+y= 20

   x+4 = 20

Rearrange and isolate  x

   x = 20-4

   x = 16

So the two values are 16 and 4

5 0
2 years ago
A store has 127 boxes of cookies. There are 21 cookies in each box. What is the total number of cookies in the boxes
ElenaW [278]

Answer:

2667 cookies

Step-by-step explanation:

127 times 21 = 2667

4 0
3 years ago
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