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04-05-2020
Mathematics

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The common ratio of a geometric series is 1/4 and the sum of the first 4 terms is 170. what is the first term of the series?

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MathPhys MathPhys

04-05-2020

Answer:

128

Step-by-step explanation:

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

S = a₁ (1 − r^n) / (1 − r)

170 = a₁ (1 − ¼^4) / (1 − ¼)

a₁ = 128

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