jmbukowski4301
jmbukowski4301 jmbukowski4301
  • 18-04-2020
  • Mathematics
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The sum of the first 6 terms of a geometric series is 15,624 and the common ratio is
5 find the first term of the series

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MathPhys
MathPhys MathPhys
  • 18-04-2020

Answer:

4

Step-by-step explanation:

The sum of the first n terms of a geometric series is:

S = a₁ (1 − rⁿ) / (1 − r)

Given S = 15624, r = 5, and n = 6:

15624 = a₁ (1 − 5⁶) / (1 − 5)

a₁ = 4

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