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mash [69]
3 years ago
9

Someone plz help! Photo Above

Mathematics
1 answer:
TiliK225 [7]3 years ago
4 0

Answer:

  • -704

Step-by-step explanation:

<u>Given the sequence</u>

  • A = -4 - 6i

<u>To find </u>

  • Sum of terms from i=5 to i=15
<h3>Solution</h3>

We see the sequence is AP

<u>The required sum is</u>

  • S₅₋₁₅ = S₁₅ - S₄

<u>Using sum of AP formula</u>

  • Sₙ = 1/2n(i₁ + iₙ)

<u>Finding the required terms</u>

  • i₁ = - 4- 6 = -10
  • i₄ = -4 -6*4 = - 28
  • i₁₅ = -4 -6*15 = -94

<u>Getting the sum</u>

  • S₄ = 1/2*4*(-10 - 28) = -76
  • S₁₅ = 1/2*15*(-10 - 94) = -780
  • S₅₋₁₅ = S₁₅ - S₄ = -780 - (-76) = - 704
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Question 2
fomenos

Answer:

D. (-2,-5), (0, -7), (1, -4)

Step-by-step explanation:

From Function Theory we must remember that range of a function is the set of images related to elements of the domain. In this case, we must find the image of each of the three elements that forms the domain of f(x, y) = (y+2, -x-4), which are: A(x,y) = (1, -4), B(x,y) = (3,-2) and C(x,y) = (0,-1).

Then we proceed to find all elements of range:

A(x,y) = (1, -4)

f(1,-4) = (-4+2,-1-4)

f(1,-4) = (-2,-5)

B(x,y) = (3,-2)

f(3,-2) = (-2+2,-3-4)

f(3,-2) = (0,-7)

C(x,y) = (0,-1)

f(0,-1) = (-1+2,0-4)

f(0,-1) = (1,-4)

Which corresponds to option D.

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Step-by-step explanation:

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Step-by-step explanation:

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