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12345 [234]
3 years ago
14

Find the sum of the first 10 terms of the given sequence.-3,-15,-75,375,-1875

Mathematics
1 answer:
IgorC [24]3 years ago
8 0

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: S_{n}=\frac{a(1-r^{n})}{1-r} \\

Sn = sum of n terms

a = first term in sequence

r = common ratio/multiple

n = number of terms

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

<em>brainliest please :)</em>

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