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Consider a geometric progression with common ratio 4. If the sum of the first 6 terms is 6825, what is the initial term?

 Jan 5, 2020
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Use the GP formula:
Sum =F x ((1 - R^N) / (1 - R)) 
6825=F x ((1 - 4^6) / (1 - 4))
6825=F x ((1 - 4096) / (- 3))
6825=F x ((- 4095) / ( - 3))
6825=F x          1365
F =6825 / 1365
F = 5 - First term of the GP

 Jan 5, 2020

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