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Pls Answer Quickly! Pls show work so that I can understand

Pls Answer Quickly! Pls show work so that I can understand-example-1
Pls Answer Quickly! Pls show work so that I can understand-example-1
Pls Answer Quickly! Pls show work so that I can understand-example-2

1 Answer

3 votes

Answer:

  • 2084, 1.1111

Explanation:

Q1

Given GP

  • 4, -20, 100,...

Common ratio is:

  • r = -20/4 = 100/-20 = -5

Sum of 5 terms:

  • S₅ = 4( (-5)⁵ - 1)/(-5 - 1) = 2084

Q2

Given GP

  • 1, 1/10, 1/100, ...

Common ratio is:

  • r = 1/10 : 1 = 1/100 : 1/10 = 1/10

Sum of 5 terms:

  • S₅ = 1*((1/10)⁵ - 1)/((1/10 - 1) = 1.1111
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