lizzegrace lizzegrace
  • 10-03-2022
  • Mathematics
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Find the sum of the first 10 terms of the given sequence.-3,-15,-75,375,-1875

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raz00r
raz00r raz00r
  • 13-03-2022

Answer: -7324218

Step-by-step explanation: This is a geometric series because we can see the sequence is constantly decreasing by multiples of 5.

5 is being multiplied.

Sum of geometric progression formula: [tex]S_{n}=\frac{a(1-r^{n})}{1-r} \\[/tex]

Sn = sum of n terms

a = first term in sequence

r = common ratio/multiple

n = number of terms

Therefore: [tex]S_{10}=\frac{-3(1-5^{10})}{1-5}[/tex] = -7324218

brainliest please :)

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