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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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