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IgorC [24]
3 years ago
11

Find the 40th term of the arithmetic sequence-2,1,4,7,10

Mathematics
2 answers:
klio [65]3 years ago
3 0
A40=a1 +(40-1)r
in this case r is 3 beceause -2+3 will be 1 etc
a40=-2 +39*3
lilavasa [31]3 years ago
3 0

Answer:

115

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 = - 2 and d = 10 - 7 = 7 - 4 = 3, thus

a_{40} = - 2 + (3 × 39) = - 2 + 117 = 115

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Solve the system of equations using the linear combination method {5p-3q=-39 -2p-3q=3
VikaD [51]

Answer:

p=-6

q=3

Step-by-step explanation:

5p-3q=-39

-2p-3q=3

Multiply the second equation by -1

2p +3q = -3

Add the first equation and the modified second equation

5p-3q=-39

2p +3q = -3

---------------------

7p = -42

Divide by 7

7p/7 = -42/7

p = -6

Now we can find q

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2(-6) +3q = -3

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Add 12 to each side

-12+12 +3q = -3+12

3q = 9

Divide by 3

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6 0
3 years ago
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An elevator can hold a maximum of 1500 pounds. An average child weighs 75 pounds and the average adult weighs 150 pounds. The el
CaHeK987 [17]

<u>Let's take this problem step-by-step</u>:

<u>Let's first set up some variables</u>:

  • c: # of children
  • a: # of adults

<u>Let's examine the information given:</u>

  • Elevator can hold a maximum of 1500 pounds

          ⇒ average child is 75 pounds

          ⇒ average adult is 150 pounds

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          ⇒ <em>therefore</em>: c + a \leq 14

<u>Let's graph the equations</u>:

 75c+150a\leq 1500\\c+a\leq 14

    ⇒ look at the image attached

<u>The point at which the two graphs intersect:</u>

  ⇒ <em>is the solution that represents the amount of children and adults and </em>

<em>       their combine weight</em>

<em />

<u><em>With the horizontal axis being the # of children and vertical axis being the # of adults</em></u><em>:</em>

<em>  ⇒ the </em><em>solution is 8 children and 6 adults</em>

<em></em>

<u>Answer: 8 children and 6 adults</u>

<u></u>

Hope that helped!

<em />

               

7 0
1 year ago
A number is shown in expanded form.
Nana76 [90]
20,809,204 is the answer because 20,000,000+800,000+9,000+200+4
4 0
3 years ago
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How do you solve <br>|3x|=18
Oduvanchick [21]

We can get two different equations from this:

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and

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6 0
3 years ago
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Viktor [21]

Answer:

6

Step-by-step explanation:

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6 0
2 years ago
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