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svlad2 [7]
2 years ago
6

Awarding 90 Points

Mathematics
1 answer:
Amanda [17]2 years ago
5 0

Answer:

  • 1090

Step-by-step explanation:

<h3>Given AP </h3>
  • a₁₂ = 62
  • a₂₀ = 102
<h3>To find</h3>
  • S₂₀
<h3>Solution</h3>
  • a₁₂ = a + 11d = 62
  • a₂₀ = a + 19d = 102

<u>Subtract the first equation from the second one:</u>

  • 8d = 40
  • d = 5

<u>Find a:</u>

  • a + 11*5 = 62
  • a = 62 - 55
  • a = 7

<u>Find the sum of the first 20 terms:</u>

  • S₂₀ = 1/2*20(a + a₂₀) = 10(7 + 102) = 10(109)= 1090

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