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Sholpan [36]
2 years ago
14

What is the sum of the first seven terms of the geometric series where a1 = 10 and r = −2?

Mathematics
1 answer:
lbvjy [14]2 years ago
5 0

Answer:

  • 430

Step-by-step explanation:

<h3>Given GP with:</h3>
  • a1 = 10
  • r = -2
<h3>To find</h3>
  • S7
<h3>Solution</h3>

<u>Formula of sum:</u>

  • Sn = a1(r^n - 1)/(r - 1)

<u>Substitute values:</u>

  • S7 = 10((-2)^7 - 1)/(-2 - 1) = 10(- 128 - 1)/(-3) = 10*129/3 = 430
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