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Lady bird [3.3K]
2 years ago
14

Find the sum of arithmetic sequences 4+8+12+16+...+400

Mathematics
2 answers:
Anit [1.1K]2 years ago
7 0

Answer:

20200

Step-by-step explanation:

a=1  ×  4=4

a=2  ×  4=8

a=3  ×  4=12

a = 4  × 4 = 16

400 = 4 + ( n - 1 ) 4]

400 = 4 + 4n - 4

4n = 400

400 / 4n

n = 100

100 / 2 [ 4 + 400 ]

50 [ 404 ]

50 × 404

= 20200

Hope this answer helps you :)

Have a great day

Mark brainliest

mojhsa [17]2 years ago
4 0

Answer:

Step-by-step explanation:

First term = a =4

Common difference = d = 2nd term - first term

d = 8 - 4 = 4

Last term = l = 400

First we have to fin the number of terms 'n'

l = a + (n-1)d

4 + (n-1)*4 = 400

4 + 4n- 4 = 400

      4n = 400     {Divide both sides by 4}

         n = 400/4

n = 100

S_{n}=\frac{n}{2}(a + l)\\\\ = \frac{100}{2}*(4+400)\\\\=50 * 404\\\\= 20200

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guapka [62]

Answer:

<u>The system has two solutions:</u>

<u>x₁ = 5  ⇒ y₁ = -10</u>

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Step-by-step explanation:

Let's solve the system of equations, this way:

y = -3x + 5

y = x ² - 6x - 5

Replacing y in the 2nd equation:

y = x ² - 6x - 5

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x₁ = 10/2 = 5

x₂ = -4/2 = -2

x₁ = 5  ⇒ y₁ = -10

x₂ = -2 ⇒ y₂ = 11

<u>As we can see the system has two different solutions</u>

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